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Finding the Fourth Proportional to 664,411.80, 996,617.70 and 461,458.20

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Solution

The fourth proportional to 664,411.80, 996,617.70 and 461,458.20 is: 692,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,411.80 : 996,617.70 = 461,458.20 : x
  2. Step 2: Convert to fraction form
    664,411.80/996,617.70 = 461,458.20/x
  3. Step 3: Cross multiply
    664,411.80x = 996,617.70 × 461,458.20
  4. Step 4: Simplify right side
    664,411.80x = 459,897,409,930.14
  5. Step 5: Solve for x
    x = 459,897,409,930.14/664,411.80
  6. Step 6: Final answer
    x = 692,187.30

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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.