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Finding the Fourth Proportional to 567,222.76, 782,772.58 and 312,583.08

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Solution

The fourth proportional to 567,222.76, 782,772.58 and 312,583.08 is: 431,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,222.76 : 782,772.58 = 312,583.08 : x
  2. Step 2: Convert to fraction form
    567,222.76/782,772.58 = 312,583.08/x
  3. Step 3: Cross multiply
    567,222.76x = 782,772.58 × 312,583.08
  4. Step 4: Simplify right side
    567,222.76x = 244,681,463,995.95
  5. Step 5: Solve for x
    x = 244,681,463,995.95/567,222.76
  6. Step 6: Final answer
    x = 431,367.50

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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.