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Finding the Fourth Proportional to 423,807.54, 584,851.62 and 230,213.49

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Solution

The fourth proportional to 423,807.54, 584,851.62 and 230,213.49 is: 317,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,807.54 : 584,851.62 = 230,213.49 : x
  2. Step 2: Convert to fraction form
    423,807.54/584,851.62 = 230,213.49/x
  3. Step 3: Cross multiply
    423,807.54x = 584,851.62 × 230,213.49
  4. Step 4: Simplify right side
    423,807.54x = 134,640,732,572.35
  5. Step 5: Solve for x
    x = 134,640,732,572.35/423,807.54
  6. Step 6: Final answer
    x = 317,693.10

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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.