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Finding the Fourth Proportional to 652,164.30, 898,946.64 and 514,118.16

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Solution

The fourth proportional to 652,164.30, 898,946.64 and 514,118.16 is: 708,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,164.30 : 898,946.64 = 514,118.16 : x
  2. Step 2: Convert to fraction form
    652,164.30/898,946.64 = 514,118.16/x
  3. Step 3: Cross multiply
    652,164.30x = 898,946.64 × 514,118.16
  4. Step 4: Simplify right side
    652,164.30x = 462,164,792,494.98
  5. Step 5: Solve for x
    x = 462,164,792,494.98/652,164.30
  6. Step 6: Final answer
    x = 708,663.13

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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.