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Finding the Fourth Proportional to 464,931.68, 696,732.16 and 264,838.88

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Solution

The fourth proportional to 464,931.68, 696,732.16 and 264,838.88 is: 396,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,931.68 : 696,732.16 = 264,838.88 : x
  2. Step 2: Convert to fraction form
    464,931.68/696,732.16 = 264,838.88/x
  3. Step 3: Cross multiply
    464,931.68x = 696,732.16 × 264,838.88
  4. Step 4: Simplify right side
    464,931.68x = 184,521,764,914.38
  5. Step 5: Solve for x
    x = 184,521,764,914.38/464,931.68
  6. Step 6: Final answer
    x = 396,879.31

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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.