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Finding the Fourth Proportional to 314,222.80, 471,327.82 and 77,567.52

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Solution

The fourth proportional to 314,222.80, 471,327.82 and 77,567.52 is: 116,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222.80 : 471,327.82 = 77,567.52 : x
  2. Step 2: Convert to fraction form
    314,222.80/471,327.82 = 77,567.52/x
  3. Step 3: Cross multiply
    314,222.80x = 471,327.82 × 77,567.52
  4. Step 4: Simplify right side
    314,222.80x = 36,559,730,104.41
  5. Step 5: Solve for x
    x = 36,559,730,104.41/314,222.80
  6. Step 6: Final answer
    x = 116,349.71

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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.