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Finding the Fourth Proportional to 464,317.32, 696,475.92 and 306,508.80

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Solution

The fourth proportional to 464,317.32, 696,475.92 and 306,508.80 is: 459,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,317.32 : 696,475.92 = 306,508.80 : x
  2. Step 2: Convert to fraction form
    464,317.32/696,475.92 = 306,508.80/x
  3. Step 3: Cross multiply
    464,317.32x = 696,475.92 × 306,508.80
  4. Step 4: Simplify right side
    464,317.32x = 213,475,998,468.10
  5. Step 5: Solve for x
    x = 213,475,998,468.10/464,317.32
  6. Step 6: Final answer
    x = 459,763.16

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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.