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Finding the Fourth Proportional to 464,281.26, 696,422.12 and 306,472.83

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Solution

The fourth proportional to 464,281.26, 696,422.12 and 306,472.83 is: 459,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,281.26 : 696,422.12 = 306,472.83 : x
  2. Step 2: Convert to fraction form
    464,281.26/696,422.12 = 306,472.83/x
  3. Step 3: Cross multiply
    464,281.26x = 696,422.12 × 306,472.83
  4. Step 4: Simplify right side
    464,281.26x = 213,434,457,991.00
  5. Step 5: Solve for x
    x = 213,434,457,991.00/464,281.26
  6. Step 6: Final answer
    x = 459,709.40

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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.