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Finding the Fourth Proportional to 488,552.30, 732,828.45 and 208,097.90

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Solution

The fourth proportional to 488,552.30, 732,828.45 and 208,097.90 is: 312,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,552.30 : 732,828.45 = 208,097.90 : x
  2. Step 2: Convert to fraction form
    488,552.30/732,828.45 = 208,097.90/x
  3. Step 3: Cross multiply
    488,552.30x = 732,828.45 × 208,097.90
  4. Step 4: Simplify right side
    488,552.30x = 152,500,061,505.26
  5. Step 5: Solve for x
    x = 152,500,061,505.26/488,552.30
  6. Step 6: Final answer
    x = 312,146.85

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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.