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Finding the Fourth Proportional to 517,011.54, 713,542.41 and 290,700.78

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Solution

The fourth proportional to 517,011.54, 713,542.41 and 290,700.78 is: 401,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,011.54 : 713,542.41 = 290,700.78 : x
  2. Step 2: Convert to fraction form
    517,011.54/713,542.41 = 290,700.78/x
  3. Step 3: Cross multiply
    517,011.54x = 713,542.41 × 290,700.78
  4. Step 4: Simplify right side
    517,011.54x = 207,427,335,150.08
  5. Step 5: Solve for x
    x = 207,427,335,150.08/517,011.54
  6. Step 6: Final answer
    x = 401,204.46

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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.