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Finding the Fourth Proportional to 488,081.40, 731,950.56 and 146,422.95

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Solution

The fourth proportional to 488,081.40, 731,950.56 and 146,422.95 is: 219,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,081.40 : 731,950.56 = 146,422.95 : x
  2. Step 2: Convert to fraction form
    488,081.40/731,950.56 = 146,422.95/x
  3. Step 3: Cross multiply
    488,081.40x = 731,950.56 × 146,422.95
  4. Step 4: Simplify right side
    488,081.40x = 107,174,360,249.35
  5. Step 5: Solve for x
    x = 107,174,360,249.35/488,081.40
  6. Step 6: Final answer
    x = 219,582.96

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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.