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Finding the Fourth Proportional to 534,838.61, 738,082.95 and 293,115.89

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Solution

The fourth proportional to 534,838.61, 738,082.95 and 293,115.89 is: 404,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,838.61 : 738,082.95 = 293,115.89 : x
  2. Step 2: Convert to fraction form
    534,838.61/738,082.95 = 293,115.89/x
  3. Step 3: Cross multiply
    534,838.61x = 738,082.95 × 293,115.89
  4. Step 4: Simplify right side
    534,838.61x = 216,343,840,783.08
  5. Step 5: Solve for x
    x = 216,343,840,783.08/534,838.61
  6. Step 6: Final answer
    x = 404,503.03

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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.