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Finding the Fourth Proportional to 412,864, 569,757.10 and 229,106.34

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Solution

The fourth proportional to 412,864, 569,757.10 and 229,106.34 is: 316,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,864 : 569,757.10 = 229,106.34 : x
  2. Step 2: Convert to fraction form
    412,864/569,757.10 = 229,106.34/x
  3. Step 3: Cross multiply
    412,864x = 569,757.10 × 229,106.34
  4. Step 4: Simplify right side
    412,864x = 130,534,963,870.01
  5. Step 5: Solve for x
    x = 130,534,963,870.01/412,864
  6. Step 6: Final answer
    x = 316,169.40

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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.