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Finding the Fourth Proportional to 410,553, 566,530.48 and 229,254.11

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Solution

The fourth proportional to 410,553, 566,530.48 and 229,254.11 is: 316,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,553 : 566,530.48 = 229,254.11 : x
  2. Step 2: Convert to fraction form
    410,553/566,530.48 = 229,254.11/x
  3. Step 3: Cross multiply
    410,553x = 566,530.48 × 229,254.11
  4. Step 4: Simplify right side
    410,553x = 129,879,440,980.27
  5. Step 5: Solve for x
    x = 129,879,440,980.27/410,553
  6. Step 6: Final answer
    x = 316,352.43

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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.