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Finding the Fourth Proportional to 465,547.36, 642,437.28 and 284,562.32

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Solution

The fourth proportional to 465,547.36, 642,437.28 and 284,562.32 is: 392,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,547.36 : 642,437.28 = 284,562.32 : x
  2. Step 2: Convert to fraction form
    465,547.36/642,437.28 = 284,562.32/x
  3. Step 3: Cross multiply
    465,547.36x = 642,437.28 × 284,562.32
  4. Step 4: Simplify right side
    465,547.36x = 182,813,442,851.29
  5. Step 5: Solve for x
    x = 182,813,442,851.29/465,547.36
  6. Step 6: Final answer
    x = 392,684.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.