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Finding the Fourth Proportional to 379,154.52, 523,225.98 and 209,385

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Solution

The fourth proportional to 379,154.52, 523,225.98 and 209,385 is: 288,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,154.52 : 523,225.98 = 209,385 : x
  2. Step 2: Convert to fraction form
    379,154.52/523,225.98 = 209,385/x
  3. Step 3: Cross multiply
    379,154.52x = 523,225.98 × 209,385
  4. Step 4: Simplify right side
    379,154.52x = 109,555,671,822.30
  5. Step 5: Solve for x
    x = 109,555,671,822.30/379,154.52
  6. Step 6: Final answer
    x = 288,947.29

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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.