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Finding the Fourth Proportional to 519,321.78, 716,666.16 and 280,857.78

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Solution

The fourth proportional to 519,321.78, 716,666.16 and 280,857.78 is: 387,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,321.78 : 716,666.16 = 280,857.78 : x
  2. Step 2: Convert to fraction form
    519,321.78/716,666.16 = 280,857.78/x
  3. Step 3: Cross multiply
    519,321.78x = 716,666.16 × 280,857.78
  4. Step 4: Simplify right side
    519,321.78x = 201,281,266,698.73
  5. Step 5: Solve for x
    x = 201,281,266,698.73/519,321.78
  6. Step 6: Final answer
    x = 387,584.87

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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.