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Finding the Fourth Proportional to 346,209.96, 519,309.54 and 177,633

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Solution

The fourth proportional to 346,209.96, 519,309.54 and 177,633 is: 266,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,209.96 : 519,309.54 = 177,633 : x
  2. Step 2: Convert to fraction form
    346,209.96/519,309.54 = 177,633/x
  3. Step 3: Cross multiply
    346,209.96x = 519,309.54 × 177,633
  4. Step 4: Simplify right side
    346,209.96x = 92,246,511,518.82
  5. Step 5: Solve for x
    x = 92,246,511,518.82/346,209.96
  6. Step 6: Final answer
    x = 266,446.73

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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.