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Finding the Fourth Proportional to 567,206.04, 850,006.98 and 314,597.82

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Solution

The fourth proportional to 567,206.04, 850,006.98 and 314,597.82 is: 471,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,206.04 : 850,006.98 = 314,597.82 : x
  2. Step 2: Convert to fraction form
    567,206.04/850,006.98 = 314,597.82/x
  3. Step 3: Cross multiply
    567,206.04x = 850,006.98 × 314,597.82
  4. Step 4: Simplify right side
    567,206.04x = 267,410,342,892.78
  5. Step 5: Solve for x
    x = 267,410,342,892.78/567,206.04
  6. Step 6: Final answer
    x = 471,451.86

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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.