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Finding the Fourth Proportional to 467,071.52, 700,705.68 and 151,503.82

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Solution

The fourth proportional to 467,071.52, 700,705.68 and 151,503.82 is: 227,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,071.52 : 700,705.68 = 151,503.82 : x
  2. Step 2: Convert to fraction form
    467,071.52/700,705.68 = 151,503.82/x
  3. Step 3: Cross multiply
    467,071.52x = 700,705.68 × 151,503.82
  4. Step 4: Simplify right side
    467,071.52x = 106,159,587,215.70
  5. Step 5: Solve for x
    x = 106,159,587,215.70/467,071.52
  6. Step 6: Final answer
    x = 227,287.65

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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.