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Finding the Fourth Proportional to 556,933.80, 768,569.54 and 302,285

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Solution

The fourth proportional to 556,933.80, 768,569.54 and 302,285 is: 417,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,933.80 : 768,569.54 = 302,285 : x
  2. Step 2: Convert to fraction form
    556,933.80/768,569.54 = 302,285/x
  3. Step 3: Cross multiply
    556,933.80x = 768,569.54 × 302,285
  4. Step 4: Simplify right side
    556,933.80x = 232,327,043,398.90
  5. Step 5: Solve for x
    x = 232,327,043,398.90/556,933.80
  6. Step 6: Final answer
    x = 417,153.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.