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Finding the Fourth Proportional to 292,625.87, 438,938.80 and 82,263.83

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Solution

The fourth proportional to 292,625.87, 438,938.80 and 82,263.83 is: 123,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,625.87 : 438,938.80 = 82,263.83 : x
  2. Step 2: Convert to fraction form
    292,625.87/438,938.80 = 82,263.83/x
  3. Step 3: Cross multiply
    292,625.87x = 438,938.80 × 82,263.83
  4. Step 4: Simplify right side
    292,625.87x = 36,108,784,423.25
  5. Step 5: Solve for x
    x = 36,108,784,423.25/292,625.87
  6. Step 6: Final answer
    x = 123,395.74

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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.