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Finding the Fourth Proportional to 464,948.66, 696,756.96 and 264,855.92

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Solution

The fourth proportional to 464,948.66, 696,756.96 and 264,855.92 is: 396,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,948.66 : 696,756.96 = 264,855.92 : x
  2. Step 2: Convert to fraction form
    464,948.66/696,756.96 = 264,855.92/x
  3. Step 3: Cross multiply
    464,948.66x = 696,756.96 × 264,855.92
  4. Step 4: Simplify right side
    464,948.66x = 184,540,202,173.42
  5. Step 5: Solve for x
    x = 184,540,202,173.42/464,948.66
  6. Step 6: Final answer
    x = 396,904.48

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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.