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Finding the Fourth Proportional to 456,877.06, 685,165.23 and 157,351.01

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Solution

The fourth proportional to 456,877.06, 685,165.23 and 157,351.01 is: 235,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,877.06 : 685,165.23 = 157,351.01 : x
  2. Step 2: Convert to fraction form
    456,877.06/685,165.23 = 157,351.01/x
  3. Step 3: Cross multiply
    456,877.06x = 685,165.23 × 157,351.01
  4. Step 4: Simplify right side
    456,877.06x = 107,811,437,531.56
  5. Step 5: Solve for x
    x = 107,811,437,531.56/456,877.06
  6. Step 6: Final answer
    x = 235,974.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.