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Finding the Fourth Proportional to 397,143.60, 596,010.71 and 160,488.33

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Solution

The fourth proportional to 397,143.60, 596,010.71 and 160,488.33 is: 240,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,143.60 : 596,010.71 = 160,488.33 : x
  2. Step 2: Convert to fraction form
    397,143.60/596,010.71 = 160,488.33/x
  3. Step 3: Cross multiply
    397,143.60x = 596,010.71 × 160,488.33
  4. Step 4: Simplify right side
    397,143.60x = 95,652,763,510.01
  5. Step 5: Solve for x
    x = 95,652,763,510.01/397,143.60
  6. Step 6: Final answer
    x = 240,851.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.