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Finding the Fourth Proportional to 477,414.35, 716,130.42 and 382,202.40

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Solution

The fourth proportional to 477,414.35, 716,130.42 and 382,202.40 is: 573,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,414.35 : 716,130.42 = 382,202.40 : x
  2. Step 2: Convert to fraction form
    477,414.35/716,130.42 = 382,202.40/x
  3. Step 3: Cross multiply
    477,414.35x = 716,130.42 × 382,202.40
  4. Step 4: Simplify right side
    477,414.35x = 273,706,762,461.01
  5. Step 5: Solve for x
    x = 273,706,762,461.01/477,414.35
  6. Step 6: Final answer
    x = 573,310.71

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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.