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Finding the Fourth Proportional to 468,565.16, 702,841.46 and 113,582.20

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Solution

The fourth proportional to 468,565.16, 702,841.46 and 113,582.20 is: 170,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,565.16 : 702,841.46 = 113,582.20 : x
  2. Step 2: Convert to fraction form
    468,565.16/702,841.46 = 113,582.20/x
  3. Step 3: Cross multiply
    468,565.16x = 702,841.46 × 113,582.20
  4. Step 4: Simplify right side
    468,565.16x = 79,830,279,278.01
  5. Step 5: Solve for x
    x = 79,830,279,278.01/468,565.16
  6. Step 6: Final answer
    x = 170,371.78

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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.