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Finding the Fourth Proportional to 314,657.92, 471,670.86 and 101,269.02

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Solution

The fourth proportional to 314,657.92, 471,670.86 and 101,269.02 is: 151,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,657.92 : 471,670.86 = 101,269.02 : x
  2. Step 2: Convert to fraction form
    314,657.92/471,670.86 = 101,269.02/x
  3. Step 3: Cross multiply
    314,657.92x = 471,670.86 × 101,269.02
  4. Step 4: Simplify right side
    314,657.92x = 47,765,645,754.76
  5. Step 5: Solve for x
    x = 47,765,645,754.76/314,657.92
  6. Step 6: Final answer
    x = 151,801.82

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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.