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Finding the Fourth Proportional to 516,766.77, 713,134.94 and 290,412.27

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Solution

The fourth proportional to 516,766.77, 713,134.94 and 290,412.27 is: 400,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,766.77 : 713,134.94 = 290,412.27 : x
  2. Step 2: Convert to fraction form
    516,766.77/713,134.94 = 290,412.27/x
  3. Step 3: Cross multiply
    516,766.77x = 713,134.94 × 290,412.27
  4. Step 4: Simplify right side
    516,766.77x = 207,103,135,289.65
  5. Step 5: Solve for x
    x = 207,103,135,289.65/516,766.77
  6. Step 6: Final answer
    x = 400,767.13

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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.