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Finding the Fourth Proportional to 457,031.52, 685,657.95 and 137,182.77

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Solution

The fourth proportional to 457,031.52, 685,657.95 and 137,182.77 is: 205,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,031.52 : 685,657.95 = 137,182.77 : x
  2. Step 2: Convert to fraction form
    457,031.52/685,657.95 = 137,182.77/x
  3. Step 3: Cross multiply
    457,031.52x = 685,657.95 × 137,182.77
  4. Step 4: Simplify right side
    457,031.52x = 94,060,456,853.52
  5. Step 5: Solve for x
    x = 94,060,456,853.52/457,031.52
  6. Step 6: Final answer
    x = 205,807.37

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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.