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Finding the Fourth Proportional to 410,326.86, 566,257.13 and 229,052.51

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Solution

The fourth proportional to 410,326.86, 566,257.13 and 229,052.51 is: 316,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,326.86 : 566,257.13 = 229,052.51 : x
  2. Step 2: Convert to fraction form
    410,326.86/566,257.13 = 229,052.51/x
  3. Step 3: Cross multiply
    410,326.86x = 566,257.13 × 229,052.51
  4. Step 4: Simplify right side
    410,326.86x = 129,702,615,937.76
  5. Step 5: Solve for x
    x = 129,702,615,937.76/410,326.86
  6. Step 6: Final answer
    x = 316,095.84

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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.