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Finding the Fourth Proportional to 457,156.61, 685,780.03 and 157,597.76

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Solution

The fourth proportional to 457,156.61, 685,780.03 and 157,597.76 is: 236,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,156.61 : 685,780.03 = 157,597.76 : x
  2. Step 2: Convert to fraction form
    457,156.61/685,780.03 = 157,597.76/x
  3. Step 3: Cross multiply
    457,156.61x = 685,780.03 × 157,597.76
  4. Step 4: Simplify right side
    457,156.61x = 108,077,392,757.84
  5. Step 5: Solve for x
    x = 108,077,392,757.84/457,156.61
  6. Step 6: Final answer
    x = 236,412.18

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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.