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Finding the Fourth Proportional to 424,458.50, 586,592.82 and 347,856.80

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Solution

The fourth proportional to 424,458.50, 586,592.82 and 347,856.80 is: 480,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,458.50 : 586,592.82 = 347,856.80 : x
  2. Step 2: Convert to fraction form
    424,458.50/586,592.82 = 347,856.80/x
  3. Step 3: Cross multiply
    424,458.50x = 586,592.82 × 347,856.80
  4. Step 4: Simplify right side
    424,458.50x = 204,050,298,335.21
  5. Step 5: Solve for x
    x = 204,050,298,335.21/424,458.50
  6. Step 6: Final answer
    x = 480,730.86

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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.