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Finding the Fourth Proportional to 517,081.92, 713,339.73 and 302,125.38

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Solution

The fourth proportional to 517,081.92, 713,339.73 and 302,125.38 is: 416,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,081.92 : 713,339.73 = 302,125.38 : x
  2. Step 2: Convert to fraction form
    517,081.92/713,339.73 = 302,125.38/x
  3. Step 3: Cross multiply
    517,081.92x = 713,339.73 × 302,125.38
  4. Step 4: Simplify right side
    517,081.92x = 215,518,036,995.35
  5. Step 5: Solve for x
    x = 215,518,036,995.35/517,081.92
  6. Step 6: Final answer
    x = 416,796.70

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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.