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Finding the Fourth Proportional to 420,158.46, 579,818.55 and 229,171.74

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Solution

The fourth proportional to 420,158.46, 579,818.55 and 229,171.74 is: 316,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,158.46 : 579,818.55 = 229,171.74 : x
  2. Step 2: Convert to fraction form
    420,158.46/579,818.55 = 229,171.74/x
  3. Step 3: Cross multiply
    420,158.46x = 579,818.55 × 229,171.74
  4. Step 4: Simplify right side
    420,158.46x = 132,878,025,987.78
  5. Step 5: Solve for x
    x = 132,878,025,987.78/420,158.46
  6. Step 6: Final answer
    x = 316,256.93

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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.