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Finding the Fourth Proportional to 383,713.80, 575,565.30 and 173,351.40

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Solution

The fourth proportional to 383,713.80, 575,565.30 and 173,351.40 is: 260,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,713.80 : 575,565.30 = 173,351.40 : x
  2. Step 2: Convert to fraction form
    383,713.80/575,565.30 = 173,351.40/x
  3. Step 3: Cross multiply
    383,713.80x = 575,565.30 × 173,351.40
  4. Step 4: Simplify right side
    383,713.80x = 99,775,050,546.42
  5. Step 5: Solve for x
    x = 99,775,050,546.42/383,713.80
  6. Step 6: Final answer
    x = 260,024.66

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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.