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Finding the Fourth Proportional to 314,659.92, 471,673.86 and 101,271.02

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Solution

The fourth proportional to 314,659.92, 471,673.86 and 101,271.02 is: 151,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,659.92 : 471,673.86 = 101,271.02 : x
  2. Step 2: Convert to fraction form
    314,659.92/471,673.86 = 101,271.02/x
  3. Step 3: Cross multiply
    314,659.92x = 471,673.86 × 101,271.02
  4. Step 4: Simplify right side
    314,659.92x = 47,766,892,909.54
  5. Step 5: Solve for x
    x = 47,766,892,909.54/314,659.92
  6. Step 6: Final answer
    x = 151,804.82

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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.