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Finding the Fourth Proportional to 649,535.40, 974,303.10 and 413,922.60

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Solution

The fourth proportional to 649,535.40, 974,303.10 and 413,922.60 is: 620,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,535.40 : 974,303.10 = 413,922.60 : x
  2. Step 2: Convert to fraction form
    649,535.40/974,303.10 = 413,922.60/x
  3. Step 3: Cross multiply
    649,535.40x = 974,303.10 × 413,922.60
  4. Step 4: Simplify right side
    649,535.40x = 403,286,072,340.06
  5. Step 5: Solve for x
    x = 403,286,072,340.06/649,535.40
  6. Step 6: Final answer
    x = 620,883.90

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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.