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Finding the Fourth Proportional to 412,320, 569,001.60 and 233,506.56

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Solution

The fourth proportional to 412,320, 569,001.60 and 233,506.56 is: 322,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,320 : 569,001.60 = 233,506.56 : x
  2. Step 2: Convert to fraction form
    412,320/569,001.60 = 233,506.56/x
  3. Step 3: Cross multiply
    412,320x = 569,001.60 × 233,506.56
  4. Step 4: Simplify right side
    412,320x = 132,865,606,250.50
  5. Step 5: Solve for x
    x = 132,865,606,250.50/412,320
  6. Step 6: Final answer
    x = 322,239.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.