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Finding the Fourth Proportional to 410,760.07, 616,210.16 and 183,138.28

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Solution

The fourth proportional to 410,760.07, 616,210.16 and 183,138.28 is: 274,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,760.07 : 616,210.16 = 183,138.28 : x
  2. Step 2: Convert to fraction form
    410,760.07/616,210.16 = 183,138.28/x
  3. Step 3: Cross multiply
    410,760.07x = 616,210.16 × 183,138.28
  4. Step 4: Simplify right side
    410,760.07x = 112,851,668,820.93
  5. Step 5: Solve for x
    x = 112,851,668,820.93/410,760.07
  6. Step 6: Final answer
    x = 274,738.65

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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.