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Finding the Fourth Proportional to 292,616.85, 438,925.26 and 82,254.79

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Solution

The fourth proportional to 292,616.85, 438,925.26 and 82,254.79 is: 123,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,616.85 : 438,925.26 = 82,254.79 : x
  2. Step 2: Convert to fraction form
    292,616.85/438,925.26 = 82,254.79/x
  3. Step 3: Cross multiply
    292,616.85x = 438,925.26 × 82,254.79
  4. Step 4: Simplify right side
    292,616.85x = 36,103,705,944.11
  5. Step 5: Solve for x
    x = 36,103,705,944.11/292,616.85
  6. Step 6: Final answer
    x = 123,382.18

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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.