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Finding the Fourth Proportional to 424,409.76, 585,663.75 and 233,386.38

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Solution

The fourth proportional to 424,409.76, 585,663.75 and 233,386.38 is: 322,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,409.76 : 585,663.75 = 233,386.38 : x
  2. Step 2: Convert to fraction form
    424,409.76/585,663.75 = 233,386.38/x
  3. Step 3: Cross multiply
    424,409.76x = 585,663.75 × 233,386.38
  4. Step 4: Simplify right side
    424,409.76x = 136,685,942,509.73
  5. Step 5: Solve for x
    x = 136,685,942,509.73/424,409.76
  6. Step 6: Final answer
    x = 322,061.26

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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.