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Finding the Fourth Proportional to 417,519.96, 575,382.06 and 409,842.60

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Solution

The fourth proportional to 417,519.96, 575,382.06 and 409,842.60 is: 564,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,519.96 : 575,382.06 = 409,842.60 : x
  2. Step 2: Convert to fraction form
    417,519.96/575,382.06 = 409,842.60/x
  3. Step 3: Cross multiply
    417,519.96x = 575,382.06 × 409,842.60
  4. Step 4: Simplify right side
    417,519.96x = 235,816,079,463.76
  5. Step 5: Solve for x
    x = 235,816,079,463.76/417,519.96
  6. Step 6: Final answer
    x = 564,801.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.