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Finding the Fourth Proportional to 474,836.32, 712,310.78 and 297,358.04

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Solution

The fourth proportional to 474,836.32, 712,310.78 and 297,358.04 is: 446,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,836.32 : 712,310.78 = 297,358.04 : x
  2. Step 2: Convert to fraction form
    474,836.32/712,310.78 = 297,358.04/x
  3. Step 3: Cross multiply
    474,836.32x = 712,310.78 × 297,358.04
  4. Step 4: Simplify right side
    474,836.32x = 211,811,337,411.67
  5. Step 5: Solve for x
    x = 211,811,337,411.67/474,836.32
  6. Step 6: Final answer
    x = 446,072.32

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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.