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Finding the Fourth Proportional to 292,385.40, 438,224.88 and 142,400.88

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Solution

The fourth proportional to 292,385.40, 438,224.88 and 142,400.88 is: 213,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,385.40 : 438,224.88 = 142,400.88 : x
  2. Step 2: Convert to fraction form
    292,385.40/438,224.88 = 142,400.88/x
  3. Step 3: Cross multiply
    292,385.40x = 438,224.88 × 142,400.88
  4. Step 4: Simplify right side
    292,385.40x = 62,403,608,549.89
  5. Step 5: Solve for x
    x = 62,403,608,549.89/292,385.40
  6. Step 6: Final answer
    x = 213,429.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.