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Finding the Fourth Proportional to 466,675.91, 700,604.65 and 286,318.12

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Solution

The fourth proportional to 466,675.91, 700,604.65 and 286,318.12 is: 429,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,675.91 : 700,604.65 = 286,318.12 : x
  2. Step 2: Convert to fraction form
    466,675.91/700,604.65 = 286,318.12/x
  3. Step 3: Cross multiply
    466,675.91x = 700,604.65 × 286,318.12
  4. Step 4: Simplify right side
    466,675.91x = 200,595,806,251.26
  5. Step 5: Solve for x
    x = 200,595,806,251.26/466,675.91
  6. Step 6: Final answer
    x = 429,839.64

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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.