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Finding the Fourth Proportional to 509,254.92, 766,929.02 and 463,854.86

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Solution

The fourth proportional to 509,254.92, 766,929.02 and 463,854.86 is: 698,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,254.92 : 766,929.02 = 463,854.86 : x
  2. Step 2: Convert to fraction form
    509,254.92/766,929.02 = 463,854.86/x
  3. Step 3: Cross multiply
    509,254.92x = 766,929.02 × 463,854.86
  4. Step 4: Simplify right side
    509,254.92x = 355,743,747,048.12
  5. Step 5: Solve for x
    x = 355,743,747,048.12/509,254.92
  6. Step 6: Final answer
    x = 698,557.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.