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Finding the Fourth Proportional to 517,067.06, 713,319.30 and 302,110.46

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Solution

The fourth proportional to 517,067.06, 713,319.30 and 302,110.46 is: 416,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,067.06 : 713,319.30 = 302,110.46 : x
  2. Step 2: Convert to fraction form
    517,067.06/713,319.30 = 302,110.46/x
  3. Step 3: Cross multiply
    517,067.06x = 713,319.30 × 302,110.46
  4. Step 4: Simplify right side
    517,067.06x = 215,501,221,849.88
  5. Step 5: Solve for x
    x = 215,501,221,849.88/517,067.06
  6. Step 6: Final answer
    x = 416,776.16

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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.