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Finding the Fourth Proportional to 383,711.87, 575,967.02 and 282,624.07

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Solution

The fourth proportional to 383,711.87, 575,967.02 and 282,624.07 is: 424,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,711.87 : 575,967.02 = 282,624.07 : x
  2. Step 2: Convert to fraction form
    383,711.87/575,967.02 = 282,624.07/x
  3. Step 3: Cross multiply
    383,711.87x = 575,967.02 × 282,624.07
  4. Step 4: Simplify right side
    383,711.87x = 162,782,140,498.34
  5. Step 5: Solve for x
    x = 162,782,140,498.34/383,711.87
  6. Step 6: Final answer
    x = 424,230.14

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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.