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Finding the Fourth Proportional to 413,051.60, 619,582.87 and 160,346.49

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Solution

The fourth proportional to 413,051.60, 619,582.87 and 160,346.49 is: 240,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,051.60 : 619,582.87 = 160,346.49 : x
  2. Step 2: Convert to fraction form
    413,051.60/619,582.87 = 160,346.49/x
  3. Step 3: Cross multiply
    413,051.60x = 619,582.87 × 160,346.49
  4. Step 4: Simplify right side
    413,051.60x = 99,347,936,345.62
  5. Step 5: Solve for x
    x = 99,347,936,345.62/413,051.60
  6. Step 6: Final answer
    x = 240,521.85

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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.