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Finding the Fourth Proportional to 516,289.68, 712,540.80 and 289,934.64

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Solution

The fourth proportional to 516,289.68, 712,540.80 and 289,934.64 is: 400,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,289.68 : 712,540.80 = 289,934.64 : x
  2. Step 2: Convert to fraction form
    516,289.68/712,540.80 = 289,934.64/x
  3. Step 3: Cross multiply
    516,289.68x = 712,540.80 × 289,934.64
  4. Step 4: Simplify right side
    516,289.68x = 206,590,260,333.31
  5. Step 5: Solve for x
    x = 206,590,260,333.31/516,289.68
  6. Step 6: Final answer
    x = 400,144.08

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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.