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Finding the Fourth Proportional to 397,316.40, 595,456.20 and 160,465.20

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Solution

The fourth proportional to 397,316.40, 595,456.20 and 160,465.20 is: 240,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,316.40 : 595,456.20 = 160,465.20 : x
  2. Step 2: Convert to fraction form
    397,316.40/595,456.20 = 160,465.20/x
  3. Step 3: Cross multiply
    397,316.40x = 595,456.20 × 160,465.20
  4. Step 4: Simplify right side
    397,316.40x = 95,549,998,224.24
  5. Step 5: Solve for x
    x = 95,549,998,224.24/397,316.40
  6. Step 6: Final answer
    x = 240,488.43

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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.