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Finding the Fourth Proportional to 649,622.40, 974,433.60 and 471,292.80

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Solution

The fourth proportional to 649,622.40, 974,433.60 and 471,292.80 is: 706,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,622.40 : 974,433.60 = 471,292.80 : x
  2. Step 2: Convert to fraction form
    649,622.40/974,433.60 = 471,292.80/x
  3. Step 3: Cross multiply
    649,622.40x = 974,433.60 × 471,292.80
  4. Step 4: Simplify right side
    649,622.40x = 459,243,539,758.08
  5. Step 5: Solve for x
    x = 459,243,539,758.08/649,622.40
  6. Step 6: Final answer
    x = 706,939.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.