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Finding the Fourth Proportional to 334,863.68, 502,299.66 and 98,211.24

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Solution

The fourth proportional to 334,863.68, 502,299.66 and 98,211.24 is: 147,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,863.68 : 502,299.66 = 98,211.24 : x
  2. Step 2: Convert to fraction form
    334,863.68/502,299.66 = 98,211.24/x
  3. Step 3: Cross multiply
    334,863.68x = 502,299.66 × 98,211.24
  4. Step 4: Simplify right side
    334,863.68x = 49,331,472,460.18
  5. Step 5: Solve for x
    x = 49,331,472,460.18/334,863.68
  6. Step 6: Final answer
    x = 147,318.08

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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.