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Finding the Fourth Proportional to 349,895, 524,800.83 and 205,886.90

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Solution

The fourth proportional to 349,895, 524,800.83 and 205,886.90 is: 308,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,895 : 524,800.83 = 205,886.90 : x
  2. Step 2: Convert to fraction form
    349,895/524,800.83 = 205,886.90/x
  3. Step 3: Cross multiply
    349,895x = 524,800.83 × 205,886.90
  4. Step 4: Simplify right side
    349,895x = 108,049,616,006.13
  5. Step 5: Solve for x
    x = 108,049,616,006.13/349,895
  6. Step 6: Final answer
    x = 308,805.83

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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.