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Finding the Fourth Proportional to 359,864.50, 539,475.98 and 182,280.10

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Solution

The fourth proportional to 359,864.50, 539,475.98 and 182,280.10 is: 273,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,864.50 : 539,475.98 = 182,280.10 : x
  2. Step 2: Convert to fraction form
    359,864.50/539,475.98 = 182,280.10/x
  3. Step 3: Cross multiply
    359,864.50x = 539,475.98 × 182,280.10
  4. Step 4: Simplify right side
    359,864.50x = 98,335,735,582.00
  5. Step 5: Solve for x
    x = 98,335,735,582.00/359,864.50
  6. Step 6: Final answer
    x = 273,257.67

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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.