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Finding the Fourth Proportional to 292,359.60, 438,502.94 and 82,013.94

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Solution

The fourth proportional to 292,359.60, 438,502.94 and 82,013.94 is: 123,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,359.60 : 438,502.94 = 82,013.94 : x
  2. Step 2: Convert to fraction form
    292,359.60/438,502.94 = 82,013.94/x
  3. Step 3: Cross multiply
    292,359.60x = 438,502.94 × 82,013.94
  4. Step 4: Simplify right side
    292,359.60x = 35,963,353,810.98
  5. Step 5: Solve for x
    x = 35,963,353,810.98/292,359.60
  6. Step 6: Final answer
    x = 123,010.68

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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.