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Finding the Fourth Proportional to 506,799.60, 760,102.20 and 151,825.20

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Solution

The fourth proportional to 506,799.60, 760,102.20 and 151,825.20 is: 227,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,799.60 : 760,102.20 = 151,825.20 : x
  2. Step 2: Convert to fraction form
    506,799.60/760,102.20 = 151,825.20/x
  3. Step 3: Cross multiply
    506,799.60x = 760,102.20 × 151,825.20
  4. Step 4: Simplify right side
    506,799.60x = 115,402,668,535.44
  5. Step 5: Solve for x
    x = 115,402,668,535.44/506,799.60
  6. Step 6: Final answer
    x = 227,708.68

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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.