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Finding the Fourth Proportional to 379,187.34, 523,275.03 and 209,423.58

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Solution

The fourth proportional to 379,187.34, 523,275.03 and 209,423.58 is: 289,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,187.34 : 523,275.03 = 209,423.58 : x
  2. Step 2: Convert to fraction form
    379,187.34/523,275.03 = 209,423.58/x
  3. Step 3: Cross multiply
    379,187.34x = 523,275.03 × 209,423.58
  4. Step 4: Simplify right side
    379,187.34x = 109,586,130,107.21
  5. Step 5: Solve for x
    x = 109,586,130,107.21/379,187.34
  6. Step 6: Final answer
    x = 289,002.61

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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.