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Finding the Fourth Proportional to 347,847.40, 522,404.70 and 304,301.80

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Solution

The fourth proportional to 347,847.40, 522,404.70 and 304,301.80 is: 457,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,847.40 : 522,404.70 = 304,301.80 : x
  2. Step 2: Convert to fraction form
    347,847.40/522,404.70 = 304,301.80/x
  3. Step 3: Cross multiply
    347,847.40x = 522,404.70 × 304,301.80
  4. Step 4: Simplify right side
    347,847.40x = 158,968,690,538.46
  5. Step 5: Solve for x
    x = 158,968,690,538.46/347,847.40
  6. Step 6: Final answer
    x = 457,006.98

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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.