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Finding the Fourth Proportional to 307,237.71, 460,539.90 and 117,646.29

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Solution

The fourth proportional to 307,237.71, 460,539.90 and 117,646.29 is: 176,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,237.71 : 460,539.90 = 117,646.29 : x
  2. Step 2: Convert to fraction form
    307,237.71/460,539.90 = 117,646.29/x
  3. Step 3: Cross multiply
    307,237.71x = 460,539.90 × 117,646.29
  4. Step 4: Simplify right side
    307,237.71x = 54,180,810,631.97
  5. Step 5: Solve for x
    x = 54,180,810,631.97/307,237.71
  6. Step 6: Final answer
    x = 176,348.18

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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.