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Finding the Fourth Proportional to 464,007.40, 696,107.10 and 264,423.40

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Solution

The fourth proportional to 464,007.40, 696,107.10 and 264,423.40 is: 396,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,007.40 : 696,107.10 = 264,423.40 : x
  2. Step 2: Convert to fraction form
    464,007.40/696,107.10 = 264,423.40/x
  3. Step 3: Cross multiply
    464,007.40x = 696,107.10 × 264,423.40
  4. Step 4: Simplify right side
    464,007.40x = 184,067,006,146.14
  5. Step 5: Solve for x
    x = 184,067,006,146.14/464,007.40
  6. Step 6: Final answer
    x = 396,689.81

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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.