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Finding the Fourth Proportional to 420,224.61, 579,909.18 and 229,237.95

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Solution

The fourth proportional to 420,224.61, 579,909.18 and 229,237.95 is: 316,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,224.61 : 579,909.18 = 229,237.95 : x
  2. Step 2: Convert to fraction form
    420,224.61/579,909.18 = 229,237.95/x
  3. Step 3: Cross multiply
    420,224.61x = 579,909.18 × 229,237.95
  4. Step 4: Simplify right side
    420,224.61x = 132,937,191,609.38
  5. Step 5: Solve for x
    x = 132,937,191,609.38/420,224.61
  6. Step 6: Final answer
    x = 316,347.94

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Why These Related Problems?

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