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Finding the Fourth Proportional to 359,859.84, 539,498.10 and 149,655.12

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Solution

The fourth proportional to 359,859.84, 539,498.10 and 149,655.12 is: 224,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,859.84 : 539,498.10 = 149,655.12 : x
  2. Step 2: Convert to fraction form
    359,859.84/539,498.10 = 149,655.12/x
  3. Step 3: Cross multiply
    359,859.84x = 539,498.10 × 149,655.12
  4. Step 4: Simplify right side
    359,859.84x = 80,738,652,895.27
  5. Step 5: Solve for x
    x = 80,738,652,895.27/359,859.84
  6. Step 6: Final answer
    x = 224,361.39

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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.