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Finding the Fourth Proportional to 383,712.60, 575,240.70 and 147,225

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Solution

The fourth proportional to 383,712.60, 575,240.70 and 147,225 is: 220,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,712.60 : 575,240.70 = 147,225 : x
  2. Step 2: Convert to fraction form
    383,712.60/575,240.70 = 147,225/x
  3. Step 3: Cross multiply
    383,712.60x = 575,240.70 × 147,225
  4. Step 4: Simplify right side
    383,712.60x = 84,689,812,057.50
  5. Step 5: Solve for x
    x = 84,689,812,057.50/383,712.60
  6. Step 6: Final answer
    x = 220,711.57

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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.