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Finding the Fourth Proportional to 488,584.10, 732,876.15 and 409,852.10

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Solution

The fourth proportional to 488,584.10, 732,876.15 and 409,852.10 is: 614,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,584.10 : 732,876.15 = 409,852.10 : x
  2. Step 2: Convert to fraction form
    488,584.10/732,876.15 = 409,852.10/x
  3. Step 3: Cross multiply
    488,584.10x = 732,876.15 × 409,852.10
  4. Step 4: Simplify right side
    488,584.10x = 300,370,829,117.42
  5. Step 5: Solve for x
    x = 300,370,829,117.42/488,584.10
  6. Step 6: Final answer
    x = 614,778.15

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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.