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Finding the Fourth Proportional to 410,312.16, 566,530.68 and 265,203.78

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Solution

The fourth proportional to 410,312.16, 566,530.68 and 265,203.78 is: 366,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,312.16 : 566,530.68 = 265,203.78 : x
  2. Step 2: Convert to fraction form
    410,312.16/566,530.68 = 265,203.78/x
  3. Step 3: Cross multiply
    410,312.16x = 566,530.68 × 265,203.78
  4. Step 4: Simplify right side
    410,312.16x = 150,246,077,821.97
  5. Step 5: Solve for x
    x = 150,246,077,821.97/410,312.16
  6. Step 6: Final answer
    x = 366,175.06

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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.