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Finding the Fourth Proportional to 475,876.69, 712,863.32 and 286,232.33

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Solution

The fourth proportional to 475,876.69, 712,863.32 and 286,232.33 is: 428,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,876.69 : 712,863.32 = 286,232.33 : x
  2. Step 2: Convert to fraction form
    475,876.69/712,863.32 = 286,232.33/x
  3. Step 3: Cross multiply
    475,876.69x = 712,863.32 × 286,232.33
  4. Step 4: Simplify right side
    475,876.69x = 204,044,529,406.13
  5. Step 5: Solve for x
    x = 204,044,529,406.13/475,876.69
  6. Step 6: Final answer
    x = 428,776.06

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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.