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Finding the Fourth Proportional to 292,609.95, 438,849.17 and 174,314.91

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Solution

The fourth proportional to 292,609.95, 438,849.17 and 174,314.91 is: 261,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,609.95 : 438,849.17 = 174,314.91 : x
  2. Step 2: Convert to fraction form
    292,609.95/438,849.17 = 174,314.91/x
  3. Step 3: Cross multiply
    292,609.95x = 438,849.17 × 174,314.91
  4. Step 4: Simplify right side
    292,609.95x = 76,497,952,700.55
  5. Step 5: Solve for x
    x = 76,497,952,700.55/292,609.95
  6. Step 6: Final answer
    x = 261,433.19

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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.