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Finding the Fourth Proportional to 314,427.90, 471,575.72 and 101,214.88

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Solution

The fourth proportional to 314,427.90, 471,575.72 and 101,214.88 is: 151,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,427.90 : 471,575.72 = 101,214.88 : x
  2. Step 2: Convert to fraction form
    314,427.90/471,575.72 = 101,214.88/x
  3. Step 3: Cross multiply
    314,427.90x = 471,575.72 × 101,214.88
  4. Step 4: Simplify right side
    314,427.90x = 47,730,479,910.71
  5. Step 5: Solve for x
    x = 47,730,479,910.71/314,427.90
  6. Step 6: Final answer
    x = 151,801.03

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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.