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Finding the Fourth Proportional to 598,178.20, 897,267.30 and 532,859.80

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Solution

The fourth proportional to 598,178.20, 897,267.30 and 532,859.80 is: 799,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,178.20 : 897,267.30 = 532,859.80 : x
  2. Step 2: Convert to fraction form
    598,178.20/897,267.30 = 532,859.80/x
  3. Step 3: Cross multiply
    598,178.20x = 897,267.30 × 532,859.80
  4. Step 4: Simplify right side
    598,178.20x = 478,117,674,024.54
  5. Step 5: Solve for x
    x = 478,117,674,024.54/598,178.20
  6. Step 6: Final answer
    x = 799,289.70

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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.