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Finding the Fourth Proportional to 420,154.41, 579,820.02 and 229,167.84

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Solution

The fourth proportional to 420,154.41, 579,820.02 and 229,167.84 is: 316,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,154.41 : 579,820.02 = 229,167.84 : x
  2. Step 2: Convert to fraction form
    420,154.41/579,820.02 = 229,167.84/x
  3. Step 3: Cross multiply
    420,154.41x = 579,820.02 × 229,167.84
  4. Step 4: Simplify right side
    420,154.41x = 132,876,101,572.16
  5. Step 5: Solve for x
    x = 132,876,101,572.16/420,154.41
  6. Step 6: Final answer
    x = 316,255.40

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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.