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Finding the Fourth Proportional to 410,103.46, 566,222.61 and 265,260.34

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Solution

The fourth proportional to 410,103.46, 566,222.61 and 265,260.34 is: 366,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,103.46 : 566,222.61 = 265,260.34 : x
  2. Step 2: Convert to fraction form
    410,103.46/566,222.61 = 265,260.34/x
  3. Step 3: Cross multiply
    410,103.46x = 566,222.61 × 265,260.34
  4. Step 4: Simplify right side
    410,103.46x = 150,196,402,044.29
  5. Step 5: Solve for x
    x = 150,196,402,044.29/410,103.46
  6. Step 6: Final answer
    x = 366,240.27

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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.