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Finding the Fourth Proportional to 488,070.89, 731,934.81 and 146,412.44

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Solution

The fourth proportional to 488,070.89, 731,934.81 and 146,412.44 is: 219,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,070.89 : 731,934.81 = 146,412.44 : x
  2. Step 2: Convert to fraction form
    488,070.89/731,934.81 = 146,412.44/x
  3. Step 3: Cross multiply
    488,070.89x = 731,934.81 × 146,412.44
  4. Step 4: Simplify right side
    488,070.89x = 107,164,361,453.04
  5. Step 5: Solve for x
    x = 107,164,361,453.04/488,070.89
  6. Step 6: Final answer
    x = 219,567.21

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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.