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Finding the Fourth Proportional to 917,154, 1,265,672.52 and 514,746

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Solution

The fourth proportional to 917,154, 1,265,672.52 and 514,746 is: 710,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,154 : 1,265,672.52 = 514,746 : x
  2. Step 2: Convert to fraction form
    917,154/1,265,672.52 = 514,746/x
  3. Step 3: Cross multiply
    917,154x = 1,265,672.52 × 514,746
  4. Step 4: Simplify right side
    917,154x = 651,499,866,979.92
  5. Step 5: Solve for x
    x = 651,499,866,979.92/917,154
  6. Step 6: Final answer
    x = 710,349.48

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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.