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Finding the Fourth Proportional to 410,667.04, 566,714.49 and 229,381.51

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Solution

The fourth proportional to 410,667.04, 566,714.49 and 229,381.51 is: 316,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,667.04 : 566,714.49 = 229,381.51 : x
  2. Step 2: Convert to fraction form
    410,667.04/566,714.49 = 229,381.51/x
  3. Step 3: Cross multiply
    410,667.04x = 566,714.49 × 229,381.51
  4. Step 4: Simplify right side
    410,667.04x = 129,993,825,455.08
  5. Step 5: Solve for x
    x = 129,993,825,455.08/410,667.04
  6. Step 6: Final answer
    x = 316,543.12

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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.