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Finding the Fourth Proportional to 410,465.16, 616,002.48 and 310,750.92

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Solution

The fourth proportional to 410,465.16, 616,002.48 and 310,750.92 is: 466,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,465.16 : 616,002.48 = 310,750.92 : x
  2. Step 2: Convert to fraction form
    410,465.16/616,002.48 = 310,750.92/x
  3. Step 3: Cross multiply
    410,465.16x = 616,002.48 × 310,750.92
  4. Step 4: Simplify right side
    410,465.16x = 191,423,337,382.28
  5. Step 5: Solve for x
    x = 191,423,337,382.28/410,465.16
  6. Step 6: Final answer
    x = 466,357.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.