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Finding the Fourth Proportional to 456,463.70, 683,140.35 and 456,463.70

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Solution

The fourth proportional to 456,463.70, 683,140.35 and 456,463.70 is: 683,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,463.70 : 683,140.35 = 456,463.70 : x
  2. Step 2: Convert to fraction form
    456,463.70/683,140.35 = 456,463.70/x
  3. Step 3: Cross multiply
    456,463.70x = 683,140.35 × 456,463.70
  4. Step 4: Simplify right side
    456,463.70x = 311,828,771,780.30
  5. Step 5: Solve for x
    x = 311,828,771,780.30/456,463.70
  6. Step 6: Final answer
    x = 683,140.35

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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.