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Finding the Fourth Proportional to 491,703.12, 737,088.12 and 175,997.52

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Solution

The fourth proportional to 491,703.12, 737,088.12 and 175,997.52 is: 263,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,703.12 : 737,088.12 = 175,997.52 : x
  2. Step 2: Convert to fraction form
    491,703.12/737,088.12 = 175,997.52/x
  3. Step 3: Cross multiply
    491,703.12x = 737,088.12 × 175,997.52
  4. Step 4: Simplify right side
    491,703.12x = 129,725,681,141.46
  5. Step 5: Solve for x
    x = 129,725,681,141.46/491,703.12
  6. Step 6: Final answer
    x = 263,829.28

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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.