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Finding the Fourth Proportional to 533,601.40, 800,402.10 and 472,948.60

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Solution

The fourth proportional to 533,601.40, 800,402.10 and 472,948.60 is: 709,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,601.40 : 800,402.10 = 472,948.60 : x
  2. Step 2: Convert to fraction form
    533,601.40/800,402.10 = 472,948.60/x
  3. Step 3: Cross multiply
    533,601.40x = 800,402.10 × 472,948.60
  4. Step 4: Simplify right side
    533,601.40x = 378,549,052,632.06
  5. Step 5: Solve for x
    x = 378,549,052,632.06/533,601.40
  6. Step 6: Final answer
    x = 709,422.90

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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.