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Finding the Fourth Proportional to 359,254.46, 538,924.66 and 145,976.81

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Solution

The fourth proportional to 359,254.46, 538,924.66 and 145,976.81 is: 218,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,254.46 : 538,924.66 = 145,976.81 : x
  2. Step 2: Convert to fraction form
    359,254.46/538,924.66 = 145,976.81/x
  3. Step 3: Cross multiply
    359,254.46x = 538,924.66 × 145,976.81
  4. Step 4: Simplify right side
    359,254.46x = 78,670,499,637.57
  5. Step 5: Solve for x
    x = 78,670,499,637.57/359,254.46
  6. Step 6: Final answer
    x = 218,982.67

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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.