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Finding the Fourth Proportional to 424,927.26, 586,377.36 and 233,903.34

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Solution

The fourth proportional to 424,927.26, 586,377.36 and 233,903.34 is: 322,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,927.26 : 586,377.36 = 233,903.34 : x
  2. Step 2: Convert to fraction form
    424,927.26/586,377.36 = 233,903.34/x
  3. Step 3: Cross multiply
    424,927.26x = 586,377.36 × 233,903.34
  4. Step 4: Simplify right side
    424,927.26x = 137,155,623,004.38
  5. Step 5: Solve for x
    x = 137,155,623,004.38/424,927.26
  6. Step 6: Final answer
    x = 322,774.36

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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.