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Finding the Fourth Proportional to 412,848.02, 569,684.70 and 231,522.63

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Solution

The fourth proportional to 412,848.02, 569,684.70 and 231,522.63 is: 319,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.02 : 569,684.70 = 231,522.63 : x
  2. Step 2: Convert to fraction form
    412,848.02/569,684.70 = 231,522.63/x
  3. Step 3: Cross multiply
    412,848.02x = 569,684.70 × 231,522.63
  4. Step 4: Simplify right side
    412,848.02x = 131,894,900,014.76
  5. Step 5: Solve for x
    x = 131,894,900,014.76/412,848.02
  6. Step 6: Final answer
    x = 319,475.68

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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.