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Finding the Fourth Proportional to 517,059.77, 713,585.59 and 287,660.27

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Solution

The fourth proportional to 517,059.77, 713,585.59 and 287,660.27 is: 396,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,059.77 : 713,585.59 = 287,660.27 : x
  2. Step 2: Convert to fraction form
    517,059.77/713,585.59 = 287,660.27/x
  3. Step 3: Cross multiply
    517,059.77x = 713,585.59 × 287,660.27
  4. Step 4: Simplify right side
    517,059.77x = 205,270,224,552.32
  5. Step 5: Solve for x
    x = 205,270,224,552.32/517,059.77
  6. Step 6: Final answer
    x = 396,995.16

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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.