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Finding the Fourth Proportional to 471,856.40, 706,402.20 and 416,560.40

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Solution

The fourth proportional to 471,856.40, 706,402.20 and 416,560.40 is: 623,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,856.40 : 706,402.20 = 416,560.40 : x
  2. Step 2: Convert to fraction form
    471,856.40/706,402.20 = 416,560.40/x
  3. Step 3: Cross multiply
    471,856.40x = 706,402.20 × 416,560.40
  4. Step 4: Simplify right side
    471,856.40x = 294,259,182,992.88
  5. Step 5: Solve for x
    x = 294,259,182,992.88/471,856.40
  6. Step 6: Final answer
    x = 623,620.20

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1.5x scale

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.