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Finding the Fourth Proportional to 424,478.16, 585,799.56 and 233,488.08

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Solution

The fourth proportional to 424,478.16, 585,799.56 and 233,488.08 is: 322,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,478.16 : 585,799.56 = 233,488.08 : x
  2. Step 2: Convert to fraction form
    424,478.16/585,799.56 = 233,488.08/x
  3. Step 3: Cross multiply
    424,478.16x = 585,799.56 × 233,488.08
  4. Step 4: Simplify right side
    424,478.16x = 136,777,214,529.25
  5. Step 5: Solve for x
    x = 136,777,214,529.25/424,478.16
  6. Step 6: Final answer
    x = 322,224.39

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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.