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Finding the Fourth Proportional to 415,944.40, 623,916.60 and 409,723.60

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Solution

The fourth proportional to 415,944.40, 623,916.60 and 409,723.60 is: 614,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,944.40 : 623,916.60 = 409,723.60 : x
  2. Step 2: Convert to fraction form
    415,944.40/623,916.60 = 409,723.60/x
  3. Step 3: Cross multiply
    415,944.40x = 623,916.60 × 409,723.60
  4. Step 4: Simplify right side
    415,944.40x = 255,633,355,451.76
  5. Step 5: Solve for x
    x = 255,633,355,451.76/415,944.40
  6. Step 6: Final answer
    x = 614,585.40

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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.