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Finding the Fourth Proportional to 413,365.32, 619,806.65 and 160,350.16

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Solution

The fourth proportional to 413,365.32, 619,806.65 and 160,350.16 is: 240,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,365.32 : 619,806.65 = 160,350.16 : x
  2. Step 2: Convert to fraction form
    413,365.32/619,806.65 = 160,350.16/x
  3. Step 3: Cross multiply
    413,365.32x = 619,806.65 × 160,350.16
  4. Step 4: Simplify right side
    413,365.32x = 99,386,093,297.08
  5. Step 5: Solve for x
    x = 99,386,093,297.08/413,365.32
  6. Step 6: Final answer
    x = 240,431.62

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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.