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Finding the Fourth Proportional to 359,984.40, 539,717.40 and 202,261.20

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Solution

The fourth proportional to 359,984.40, 539,717.40 and 202,261.20 is: 303,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,984.40 : 539,717.40 = 202,261.20 : x
  2. Step 2: Convert to fraction form
    359,984.40/539,717.40 = 202,261.20/x
  3. Step 3: Cross multiply
    359,984.40x = 539,717.40 × 202,261.20
  4. Step 4: Simplify right side
    359,984.40x = 109,163,888,984.88
  5. Step 5: Solve for x
    x = 109,163,888,984.88/359,984.40
  6. Step 6: Final answer
    x = 303,246.17

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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.