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Finding the Fourth Proportional to 474,057.80, 709,358.70 and 349,641.80

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Solution

The fourth proportional to 474,057.80, 709,358.70 and 349,641.80 is: 523,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,057.80 : 709,358.70 = 349,641.80 : x
  2. Step 2: Convert to fraction form
    474,057.80/709,358.70 = 349,641.80/x
  3. Step 3: Cross multiply
    474,057.80x = 709,358.70 × 349,641.80
  4. Step 4: Simplify right side
    474,057.80x = 248,021,452,713.66
  5. Step 5: Solve for x
    x = 248,021,452,713.66/474,057.80
  6. Step 6: Final answer
    x = 523,188.21

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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.