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Finding the Fourth Proportional to 517,062.30, 713,312.76 and 302,105.71

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Solution

The fourth proportional to 517,062.30, 713,312.76 and 302,105.71 is: 416,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,062.30 : 713,312.76 = 302,105.71 : x
  2. Step 2: Convert to fraction form
    517,062.30/713,312.76 = 302,105.71/x
  3. Step 3: Cross multiply
    517,062.30x = 713,312.76 × 302,105.71
  4. Step 4: Simplify right side
    517,062.30x = 215,495,857,811.86
  5. Step 5: Solve for x
    x = 215,495,857,811.86/517,062.30
  6. Step 6: Final answer
    x = 416,769.62

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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.