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Finding the Fourth Proportional to 516,952.65, 713,289.20 and 302,051.15

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Solution

The fourth proportional to 516,952.65, 713,289.20 and 302,051.15 is: 416,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,952.65 : 713,289.20 = 302,051.15 : x
  2. Step 2: Convert to fraction form
    516,952.65/713,289.20 = 302,051.15/x
  3. Step 3: Cross multiply
    516,952.65x = 713,289.20 × 302,051.15
  4. Step 4: Simplify right side
    516,952.65x = 215,449,823,142.58
  5. Step 5: Solve for x
    x = 215,449,823,142.58/516,952.65
  6. Step 6: Final answer
    x = 416,768.97

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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.