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Finding the Fourth Proportional to 527,162.16, 727,535.88 and 300,841.68

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Solution

The fourth proportional to 527,162.16, 727,535.88 and 300,841.68 is: 415,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,162.16 : 727,535.88 = 300,841.68 : x
  2. Step 2: Convert to fraction form
    527,162.16/727,535.88 = 300,841.68/x
  3. Step 3: Cross multiply
    527,162.16x = 727,535.88 × 300,841.68
  4. Step 4: Simplify right side
    527,162.16x = 218,873,116,399.48
  5. Step 5: Solve for x
    x = 218,873,116,399.48/527,162.16
  6. Step 6: Final answer
    x = 415,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.