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Finding the Fourth Proportional to 560,745.81, 773,819.32 and 319,023.20

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Solution

The fourth proportional to 560,745.81, 773,819.32 and 319,023.20 is: 440,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,745.81 : 773,819.32 = 319,023.20 : x
  2. Step 2: Convert to fraction form
    560,745.81/773,819.32 = 319,023.20/x
  3. Step 3: Cross multiply
    560,745.81x = 773,819.32 × 319,023.20
  4. Step 4: Simplify right side
    560,745.81x = 246,866,314,349.76
  5. Step 5: Solve for x
    x = 246,866,314,349.76/560,745.81
  6. Step 6: Final answer
    x = 440,246.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.