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Finding the Fourth Proportional to 410,856.70, 616,918.65 and 224,232.70

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Solution

The fourth proportional to 410,856.70, 616,918.65 and 224,232.70 is: 336,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,856.70 : 616,918.65 = 224,232.70 : x
  2. Step 2: Convert to fraction form
    410,856.70/616,918.65 = 224,232.70/x
  3. Step 3: Cross multiply
    410,856.70x = 616,918.65 × 224,232.70
  4. Step 4: Simplify right side
    410,856.70x = 138,333,334,569.86
  5. Step 5: Solve for x
    x = 138,333,334,569.86/410,856.70
  6. Step 6: Final answer
    x = 336,694.85

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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.