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Finding the Fourth Proportional to 471,000.88, 649,867.44 and 298,856.08

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Solution

The fourth proportional to 471,000.88, 649,867.44 and 298,856.08 is: 412,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,000.88 : 649,867.44 = 298,856.08 : x
  2. Step 2: Convert to fraction form
    471,000.88/649,867.44 = 298,856.08/x
  3. Step 3: Cross multiply
    471,000.88x = 649,867.44 × 298,856.08
  4. Step 4: Simplify right side
    471,000.88x = 194,216,835,638.04
  5. Step 5: Solve for x
    x = 194,216,835,638.04/471,000.88
  6. Step 6: Final answer
    x = 412,349.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.