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Finding the Fourth Proportional to 434,264, 599,319.04 and 255,450.56

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Solution

The fourth proportional to 434,264, 599,319.04 and 255,450.56 is: 352,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,264 : 599,319.04 = 255,450.56 : x
  2. Step 2: Convert to fraction form
    434,264/599,319.04 = 255,450.56/x
  3. Step 3: Cross multiply
    434,264x = 599,319.04 × 255,450.56
  4. Step 4: Simplify right side
    434,264x = 153,096,384,386.66
  5. Step 5: Solve for x
    x = 153,096,384,386.66/434,264
  6. Step 6: Final answer
    x = 352,542.20

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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.