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Finding the Fourth Proportional to 292,382.40, 438,220.38 and 142,397.94

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Solution

The fourth proportional to 292,382.40, 438,220.38 and 142,397.94 is: 213,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,382.40 : 438,220.38 = 142,397.94 : x
  2. Step 2: Convert to fraction form
    292,382.40/438,220.38 = 142,397.94/x
  3. Step 3: Cross multiply
    292,382.40x = 438,220.38 × 142,397.94
  4. Step 4: Simplify right side
    292,382.40x = 62,401,679,378.02
  5. Step 5: Solve for x
    x = 62,401,679,378.02/292,382.40
  6. Step 6: Final answer
    x = 213,424.88

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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.