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Finding the Fourth Proportional to 412,820.76, 569,697.36 and 229,062.66

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Solution

The fourth proportional to 412,820.76, 569,697.36 and 229,062.66 is: 316,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,820.76 : 569,697.36 = 229,062.66 : x
  2. Step 2: Convert to fraction form
    412,820.76/569,697.36 = 229,062.66/x
  3. Step 3: Cross multiply
    412,820.76x = 569,697.36 × 229,062.66
  4. Step 4: Simplify right side
    412,820.76x = 130,496,392,676.58
  5. Step 5: Solve for x
    x = 130,496,392,676.58/412,820.76
  6. Step 6: Final answer
    x = 316,109.08

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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.