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Finding the Fourth Proportional to 498,863.32, 688,444.86 and 297,775.96

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Solution

The fourth proportional to 498,863.32, 688,444.86 and 297,775.96 is: 410,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,863.32 : 688,444.86 = 297,775.96 : x
  2. Step 2: Convert to fraction form
    498,863.32/688,444.86 = 297,775.96/x
  3. Step 3: Cross multiply
    498,863.32x = 688,444.86 × 297,775.96
  4. Step 4: Simplify right side
    498,863.32x = 205,002,329,093.57
  5. Step 5: Solve for x
    x = 205,002,329,093.57/498,863.32
  6. Step 6: Final answer
    x = 410,938.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.