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Finding the Fourth Proportional to 464,432.40, 696,648.60 and 149,115.60

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Solution

The fourth proportional to 464,432.40, 696,648.60 and 149,115.60 is: 223,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,432.40 : 696,648.60 = 149,115.60 : x
  2. Step 2: Convert to fraction form
    464,432.40/696,648.60 = 149,115.60/x
  3. Step 3: Cross multiply
    464,432.40x = 696,648.60 × 149,115.60
  4. Step 4: Simplify right side
    464,432.40x = 103,881,173,978.16
  5. Step 5: Solve for x
    x = 103,881,173,978.16/464,432.40
  6. Step 6: Final answer
    x = 223,673.40

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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.