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Finding the Fourth Proportional to 413,925.26, 571,264.21 and 230,182.16

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Solution

The fourth proportional to 413,925.26, 571,264.21 and 230,182.16 is: 317,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,925.26 : 571,264.21 = 230,182.16 : x
  2. Step 2: Convert to fraction form
    413,925.26/571,264.21 = 230,182.16/x
  3. Step 3: Cross multiply
    413,925.26x = 571,264.21 × 230,182.16
  4. Step 4: Simplify right side
    413,925.26x = 131,494,827,219.90
  5. Step 5: Solve for x
    x = 131,494,827,219.90/413,925.26
  6. Step 6: Final answer
    x = 317,677.71

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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.