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Finding the Fourth Proportional to 401,508.18, 602,409.87 and 164,787.30

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Solution

The fourth proportional to 401,508.18, 602,409.87 and 164,787.30 is: 247,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,508.18 : 602,409.87 = 164,787.30 : x
  2. Step 2: Convert to fraction form
    401,508.18/602,409.87 = 164,787.30/x
  3. Step 3: Cross multiply
    401,508.18x = 602,409.87 × 164,787.30
  4. Step 4: Simplify right side
    401,508.18x = 99,269,495,970.65
  5. Step 5: Solve for x
    x = 99,269,495,970.65/401,508.18
  6. Step 6: Final answer
    x = 247,241.53

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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.