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Finding the Fourth Proportional to 488,041.76, 731,791.06 and 150,988.61

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Solution

The fourth proportional to 488,041.76, 731,791.06 and 150,988.61 is: 226,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,041.76 : 731,791.06 = 150,988.61 : x
  2. Step 2: Convert to fraction form
    488,041.76/731,791.06 = 150,988.61/x
  3. Step 3: Cross multiply
    488,041.76x = 731,791.06 × 150,988.61
  4. Step 4: Simplify right side
    488,041.76x = 110,492,116,411.83
  5. Step 5: Solve for x
    x = 110,492,116,411.83/488,041.76
  6. Step 6: Final answer
    x = 226,398.90

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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.