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Finding the Fourth Proportional to 456,421.10, 684,631.65 and 456,421.10

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Solution

The fourth proportional to 456,421.10, 684,631.65 and 456,421.10 is: 684,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,421.10 : 684,631.65 = 456,421.10 : x
  2. Step 2: Convert to fraction form
    456,421.10/684,631.65 = 456,421.10/x
  3. Step 3: Cross multiply
    456,421.10x = 684,631.65 × 456,421.10
  4. Step 4: Simplify right side
    456,421.10x = 312,480,330,787.82
  5. Step 5: Solve for x
    x = 312,480,330,787.82/456,421.10
  6. Step 6: Final answer
    x = 684,631.65

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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.