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Finding the Fourth Proportional to 516,794.79, 713,371.67 and 302,004.66

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Solution

The fourth proportional to 516,794.79, 713,371.67 and 302,004.66 is: 416,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,794.79 : 713,371.67 = 302,004.66 : x
  2. Step 2: Convert to fraction form
    516,794.79/713,371.67 = 302,004.66/x
  3. Step 3: Cross multiply
    516,794.79x = 713,371.67 × 302,004.66
  4. Step 4: Simplify right side
    516,794.79x = 215,441,563,575.10
  5. Step 5: Solve for x
    x = 215,441,563,575.10/516,794.79
  6. Step 6: Final answer
    x = 416,880.30

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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.