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Finding the Fourth Proportional to 410,806.76, 616,210.00 and 154,687.52

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Solution

The fourth proportional to 410,806.76, 616,210.00 and 154,687.52 is: 232,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,806.76 : 616,210.00 = 154,687.52 : x
  2. Step 2: Convert to fraction form
    410,806.76/616,210.00 = 154,687.52/x
  3. Step 3: Cross multiply
    410,806.76x = 616,210.00 × 154,687.52
  4. Step 4: Simplify right side
    410,806.76x = 95,319,997,853.01
  5. Step 5: Solve for x
    x = 95,319,997,853.01/410,806.76
  6. Step 6: Final answer
    x = 232,031.23

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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.