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Finding the Fourth Proportional to 516,516.54, 712,811.10 and 287,078.40

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Solution

The fourth proportional to 516,516.54, 712,811.10 and 287,078.40 is: 396,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,516.54 : 712,811.10 = 287,078.40 : x
  2. Step 2: Convert to fraction form
    516,516.54/712,811.10 = 287,078.40/x
  3. Step 3: Cross multiply
    516,516.54x = 712,811.10 × 287,078.40
  4. Step 4: Simplify right side
    516,516.54x = 204,632,670,090.24
  5. Step 5: Solve for x
    x = 204,632,670,090.24/516,516.54
  6. Step 6: Final answer
    x = 396,178.35

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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.