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Finding the Fourth Proportional to 383,582.70, 575,373.24 and 103,099.95

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Solution

The fourth proportional to 383,582.70, 575,373.24 and 103,099.95 is: 154,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,582.70 : 575,373.24 = 103,099.95 : x
  2. Step 2: Convert to fraction form
    383,582.70/575,373.24 = 103,099.95/x
  3. Step 3: Cross multiply
    383,582.70x = 575,373.24 × 103,099.95
  4. Step 4: Simplify right side
    383,582.70x = 59,320,952,275.34
  5. Step 5: Solve for x
    x = 59,320,952,275.34/383,582.70
  6. Step 6: Final answer
    x = 154,649.71

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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.