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Finding the Fourth Proportional to 516,886.16, 713,198.32 and 301,984.65

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Solution

The fourth proportional to 516,886.16, 713,198.32 and 301,984.65 is: 416,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,886.16 : 713,198.32 = 301,984.65 : x
  2. Step 2: Convert to fraction form
    516,886.16/713,198.32 = 301,984.65/x
  3. Step 3: Cross multiply
    516,886.16x = 713,198.32 × 301,984.65
  4. Step 4: Simplify right side
    516,886.16x = 215,374,944,290.83
  5. Step 5: Solve for x
    x = 215,374,944,290.83/516,886.16
  6. Step 6: Final answer
    x = 416,677.72

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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.