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Finding the Fourth Proportional to 424,843.56, 586,284 and 233,856

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Solution

The fourth proportional to 424,843.56, 586,284 and 233,856 is: 322,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,843.56 : 586,284 = 233,856 : x
  2. Step 2: Convert to fraction form
    424,843.56/586,284 = 233,856/x
  3. Step 3: Cross multiply
    424,843.56x = 586,284 × 233,856
  4. Step 4: Simplify right side
    424,843.56x = 137,106,031,104
  5. Step 5: Solve for x
    x = 137,106,031,104/424,843.56
  6. Step 6: Final answer
    x = 322,721.22

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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.