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Finding the Fourth Proportional to 492,065.40, 738,098.10 and 159,641.40

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Solution

The fourth proportional to 492,065.40, 738,098.10 and 159,641.40 is: 239,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,065.40 : 738,098.10 = 159,641.40 : x
  2. Step 2: Convert to fraction form
    492,065.40/738,098.10 = 159,641.40/x
  3. Step 3: Cross multiply
    492,065.40x = 738,098.10 × 159,641.40
  4. Step 4: Simplify right side
    492,065.40x = 117,831,014,021.34
  5. Step 5: Solve for x
    x = 117,831,014,021.34/492,065.40
  6. Step 6: Final answer
    x = 239,462.10

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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.