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Finding the Fourth Proportional to 349,893, 524,797.83 and 205,884.90

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Solution

The fourth proportional to 349,893, 524,797.83 and 205,884.90 is: 308,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,893 : 524,797.83 = 205,884.90 : x
  2. Step 2: Convert to fraction form
    349,893/524,797.83 = 205,884.90/x
  3. Step 3: Cross multiply
    349,893x = 524,797.83 × 205,884.90
  4. Step 4: Simplify right side
    349,893x = 108,047,948,749.77
  5. Step 5: Solve for x
    x = 108,047,948,749.77/349,893
  6. Step 6: Final answer
    x = 308,802.83

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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.