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Finding the Fourth Proportional to 497,291.56, 745,761.66 and 160,318.60

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Solution

The fourth proportional to 497,291.56, 745,761.66 and 160,318.60 is: 240,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,291.56 : 745,761.66 = 160,318.60 : x
  2. Step 2: Convert to fraction form
    497,291.56/745,761.66 = 160,318.60/x
  3. Step 3: Cross multiply
    497,291.56x = 745,761.66 × 160,318.60
  4. Step 4: Simplify right side
    497,291.56x = 119,559,465,264.88
  5. Step 5: Solve for x
    x = 119,559,465,264.88/497,291.56
  6. Step 6: Final answer
    x = 240,421.26

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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.