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Finding the Fourth Proportional to 383,622.80, 575,434.20 and 99,312.80

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Solution

The fourth proportional to 383,622.80, 575,434.20 and 99,312.80 is: 148,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,622.80 : 575,434.20 = 99,312.80 : x
  2. Step 2: Convert to fraction form
    383,622.80/575,434.20 = 99,312.80/x
  3. Step 3: Cross multiply
    383,622.80x = 575,434.20 × 99,312.80
  4. Step 4: Simplify right side
    383,622.80x = 57,147,981,617.76
  5. Step 5: Solve for x
    x = 57,147,981,617.76/383,622.80
  6. Step 6: Final answer
    x = 148,969.20

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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.