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Finding the Fourth Proportional to 531,484.38, 797,223.20 and 194,548.50

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Solution

The fourth proportional to 531,484.38, 797,223.20 and 194,548.50 is: 291,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,484.38 : 797,223.20 = 194,548.50 : x
  2. Step 2: Convert to fraction form
    531,484.38/797,223.20 = 194,548.50/x
  3. Step 3: Cross multiply
    531,484.38x = 797,223.20 × 194,548.50
  4. Step 4: Simplify right side
    531,484.38x = 155,098,576,752.46
  5. Step 5: Solve for x
    x = 155,098,576,752.46/531,484.38
  6. Step 6: Final answer
    x = 291,821.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.