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Finding the Fourth Proportional to 464,875.20, 696,648.60 and 264,772.80

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Solution

The fourth proportional to 464,875.20, 696,648.60 and 264,772.80 is: 396,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,875.20 : 696,648.60 = 264,772.80 : x
  2. Step 2: Convert to fraction form
    464,875.20/696,648.60 = 264,772.80/x
  3. Step 3: Cross multiply
    464,875.20x = 696,648.60 × 264,772.80
  4. Step 4: Simplify right side
    464,875.20x = 184,453,600,438.08
  5. Step 5: Solve for x
    x = 184,453,600,438.08/464,875.20
  6. Step 6: Final answer
    x = 396,780.90

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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.