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Finding the Fourth Proportional to 656,327.80, 982,304.70 and 475,900.30

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Solution

The fourth proportional to 656,327.80, 982,304.70 and 475,900.30 is: 712,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,327.80 : 982,304.70 = 475,900.30 : x
  2. Step 2: Convert to fraction form
    656,327.80/982,304.70 = 475,900.30/x
  3. Step 3: Cross multiply
    656,327.80x = 982,304.70 × 475,900.30
  4. Step 4: Simplify right side
    656,327.80x = 467,479,101,421.41
  5. Step 5: Solve for x
    x = 467,479,101,421.41/656,327.80
  6. Step 6: Final answer
    x = 712,264.67

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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.