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Finding the Fourth Proportional to 314,483.52, 471,580.05 and 101,211.72

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Solution

The fourth proportional to 314,483.52, 471,580.05 and 101,211.72 is: 151,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,483.52 : 471,580.05 = 101,211.72 : x
  2. Step 2: Convert to fraction form
    314,483.52/471,580.05 = 101,211.72/x
  3. Step 3: Cross multiply
    314,483.52x = 471,580.05 × 101,211.72
  4. Step 4: Simplify right side
    314,483.52x = 47,729,427,978.19
  5. Step 5: Solve for x
    x = 47,729,427,978.19/314,483.52
  6. Step 6: Final answer
    x = 151,770.84

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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.