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Finding the Fourth Proportional to 292,459.38, 438,599.70 and 123,976.50

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Solution

The fourth proportional to 292,459.38, 438,599.70 and 123,976.50 is: 185,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,459.38 : 438,599.70 = 123,976.50 : x
  2. Step 2: Convert to fraction form
    292,459.38/438,599.70 = 123,976.50/x
  3. Step 3: Cross multiply
    292,459.38x = 438,599.70 × 123,976.50
  4. Step 4: Simplify right side
    292,459.38x = 54,376,055,707.05
  5. Step 5: Solve for x
    x = 54,376,055,707.05/292,459.38
  6. Step 6: Final answer
    x = 185,926.87

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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.