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Finding the Fourth Proportional to 314,468.60, 471,765.18 and 89,830.98

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Solution

The fourth proportional to 314,468.60, 471,765.18 and 89,830.98 is: 134,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,468.60 : 471,765.18 = 89,830.98 : x
  2. Step 2: Convert to fraction form
    314,468.60/471,765.18 = 89,830.98/x
  3. Step 3: Cross multiply
    314,468.60x = 471,765.18 × 89,830.98
  4. Step 4: Simplify right side
    314,468.60x = 42,379,128,449.28
  5. Step 5: Solve for x
    x = 42,379,128,449.28/314,468.60
  6. Step 6: Final answer
    x = 134,764.26

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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.