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Finding the Fourth Proportional to 404,417, 558,095.46 and 225,569

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Solution

The fourth proportional to 404,417, 558,095.46 and 225,569 is: 311,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,417 : 558,095.46 = 225,569 : x
  2. Step 2: Convert to fraction form
    404,417/558,095.46 = 225,569/x
  3. Step 3: Cross multiply
    404,417x = 558,095.46 × 225,569
  4. Step 4: Simplify right side
    404,417x = 125,889,034,816.74
  5. Step 5: Solve for x
    x = 125,889,034,816.74/404,417
  6. Step 6: Final answer
    x = 311,285.22

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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.