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Finding the Fourth Proportional to 497,031.69, 745,526.70 and 160,064.88

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Solution

The fourth proportional to 497,031.69, 745,526.70 and 160,064.88 is: 240,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,031.69 : 745,526.70 = 160,064.88 : x
  2. Step 2: Convert to fraction form
    497,031.69/745,526.70 = 160,064.88/x
  3. Step 3: Cross multiply
    497,031.69x = 745,526.70 × 160,064.88
  4. Step 4: Simplify right side
    497,031.69x = 119,332,641,772.30
  5. Step 5: Solve for x
    x = 119,332,641,772.30/497,031.69
  6. Step 6: Final answer
    x = 240,090.61

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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.