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Finding the Fourth Proportional to 665,123.10, 997,684.65 and 665,123.10

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Solution

The fourth proportional to 665,123.10, 997,684.65 and 665,123.10 is: 997,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,123.10 : 997,684.65 = 665,123.10 : x
  2. Step 2: Convert to fraction form
    665,123.10/997,684.65 = 665,123.10/x
  3. Step 3: Cross multiply
    665,123.10x = 997,684.65 × 665,123.10
  4. Step 4: Simplify right side
    665,123.10x = 663,583,107,230.42
  5. Step 5: Solve for x
    x = 663,583,107,230.42/665,123.10
  6. Step 6: Final answer
    x = 997,684.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.