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Finding the Fourth Proportional to 424,570.71, 585,907.56 and 233,580

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Solution

The fourth proportional to 424,570.71, 585,907.56 and 233,580 is: 322,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,570.71 : 585,907.56 = 233,580 : x
  2. Step 2: Convert to fraction form
    424,570.71/585,907.56 = 233,580/x
  3. Step 3: Cross multiply
    424,570.71x = 585,907.56 × 233,580
  4. Step 4: Simplify right side
    424,570.71x = 136,856,287,864.80
  5. Step 5: Solve for x
    x = 136,856,287,864.80/424,570.71
  6. Step 6: Final answer
    x = 322,340.39

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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.