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Finding the Fourth Proportional to 474,051.30, 709,348.95 and 349,635.30

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Solution

The fourth proportional to 474,051.30, 709,348.95 and 349,635.30 is: 523,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,051.30 : 709,348.95 = 349,635.30 : x
  2. Step 2: Convert to fraction form
    474,051.30/709,348.95 = 349,635.30/x
  3. Step 3: Cross multiply
    474,051.30x = 709,348.95 × 349,635.30
  4. Step 4: Simplify right side
    474,051.30x = 248,013,432,937.94
  5. Step 5: Solve for x
    x = 248,013,432,937.94/474,051.30
  6. Step 6: Final answer
    x = 523,178.47

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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.