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Finding the Fourth Proportional to 567,352.44, 782,951.82 and 312,713.40

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Solution

The fourth proportional to 567,352.44, 782,951.82 and 312,713.40 is: 431,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,352.44 : 782,951.82 = 312,713.40 : x
  2. Step 2: Convert to fraction form
    567,352.44/782,951.82 = 312,713.40/x
  3. Step 3: Cross multiply
    567,352.44x = 782,951.82 × 312,713.40
  4. Step 4: Simplify right side
    567,352.44x = 244,839,525,668.39
  5. Step 5: Solve for x
    x = 244,839,525,668.39/567,352.44
  6. Step 6: Final answer
    x = 431,547.50

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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.