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Finding the Fourth Proportional to 586,575.84, 809,034.01 and 393,201.64

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Solution

The fourth proportional to 586,575.84, 809,034.01 and 393,201.64 is: 542,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,575.84 : 809,034.01 = 393,201.64 : x
  2. Step 2: Convert to fraction form
    586,575.84/809,034.01 = 393,201.64/x
  3. Step 3: Cross multiply
    586,575.84x = 809,034.01 × 393,201.64
  4. Step 4: Simplify right side
    586,575.84x = 318,113,498,746.65
  5. Step 5: Solve for x
    x = 318,113,498,746.65/586,575.84
  6. Step 6: Final answer
    x = 542,322.88

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