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Finding the Fourth Proportional to 560,296.32, 773,273.70 and 311,963.28

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Solution

The fourth proportional to 560,296.32, 773,273.70 and 311,963.28 is: 430,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,296.32 : 773,273.70 = 311,963.28 : x
  2. Step 2: Convert to fraction form
    560,296.32/773,273.70 = 311,963.28/x
  3. Step 3: Cross multiply
    560,296.32x = 773,273.70 × 311,963.28
  4. Step 4: Simplify right side
    560,296.32x = 241,232,999,789.74
  5. Step 5: Solve for x
    x = 241,232,999,789.74/560,296.32
  6. Step 6: Final answer
    x = 430,545.39

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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.