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Finding the Fourth Proportional to 417,642.21, 576,314.33 and 245,567.16

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Solution

The fourth proportional to 417,642.21, 576,314.33 and 245,567.16 is: 338,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,642.21 : 576,314.33 = 245,567.16 : x
  2. Step 2: Convert to fraction form
    417,642.21/576,314.33 = 245,567.16/x
  3. Step 3: Cross multiply
    417,642.21x = 576,314.33 × 245,567.16
  4. Step 4: Simplify right side
    417,642.21x = 141,523,872,057.57
  5. Step 5: Solve for x
    x = 141,523,872,057.57/417,642.21
  6. Step 6: Final answer
    x = 338,863.91

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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.