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Finding the Fourth Proportional to 519,141.11, 716,414.88 and 286,568.20

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Solution

The fourth proportional to 519,141.11, 716,414.88 and 286,568.20 is: 395,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,141.11 : 716,414.88 = 286,568.20 : x
  2. Step 2: Convert to fraction form
    519,141.11/716,414.88 = 286,568.20/x
  3. Step 3: Cross multiply
    519,141.11x = 716,414.88 × 286,568.20
  4. Step 4: Simplify right side
    519,141.11x = 205,301,720,823.78
  5. Step 5: Solve for x
    x = 205,301,720,823.78/519,141.11
  6. Step 6: Final answer
    x = 395,464.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.