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Finding the Fourth Proportional to 517,061.30, 713,311.38 and 302,104.71

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Solution

The fourth proportional to 517,061.30, 713,311.38 and 302,104.71 is: 416,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,061.30 : 713,311.38 = 302,104.71 : x
  2. Step 2: Convert to fraction form
    517,061.30/713,311.38 = 302,104.71/x
  3. Step 3: Cross multiply
    517,061.30x = 713,311.38 × 302,104.71
  4. Step 4: Simplify right side
    517,061.30x = 215,494,727,594.60
  5. Step 5: Solve for x
    x = 215,494,727,594.60/517,061.30
  6. Step 6: Final answer
    x = 416,768.24

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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.