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Finding the Fourth Proportional to 464,432.60, 696,648.90 and 164,959.40

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Solution

The fourth proportional to 464,432.60, 696,648.90 and 164,959.40 is: 247,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,432.60 : 696,648.90 = 164,959.40 : x
  2. Step 2: Convert to fraction form
    464,432.60/696,648.90 = 164,959.40/x
  3. Step 3: Cross multiply
    464,432.60x = 696,648.90 × 164,959.40
  4. Step 4: Simplify right side
    464,432.60x = 114,918,784,554.66
  5. Step 5: Solve for x
    x = 114,918,784,554.66/464,432.60
  6. Step 6: Final answer
    x = 247,439.10

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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.