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Finding the Fourth Proportional to 492,062.70, 738,094.05 and 159,638.70

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Solution

The fourth proportional to 492,062.70, 738,094.05 and 159,638.70 is: 239,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,062.70 : 738,094.05 = 159,638.70 : x
  2. Step 2: Convert to fraction form
    492,062.70/738,094.05 = 159,638.70/x
  3. Step 3: Cross multiply
    492,062.70x = 738,094.05 × 159,638.70
  4. Step 4: Simplify right side
    492,062.70x = 117,828,374,619.74
  5. Step 5: Solve for x
    x = 117,828,374,619.74/492,062.70
  6. Step 6: Final answer
    x = 239,458.05

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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.