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Finding the Fourth Proportional to 527,304.16, 727,731.84 and 300,983.68

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Solution

The fourth proportional to 527,304.16, 727,731.84 and 300,983.68 is: 415,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,304.16 : 727,731.84 = 300,983.68 : x
  2. Step 2: Convert to fraction form
    527,304.16/727,731.84 = 300,983.68/x
  3. Step 3: Cross multiply
    527,304.16x = 727,731.84 × 300,983.68
  4. Step 4: Simplify right side
    527,304.16x = 219,035,407,256.37
  5. Step 5: Solve for x
    x = 219,035,407,256.37/527,304.16
  6. Step 6: Final answer
    x = 415,387.22

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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.