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Finding the Fourth Proportional to 541,470.51, 747,205.06 and 299,736

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Solution

The fourth proportional to 541,470.51, 747,205.06 and 299,736 is: 413,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,470.51 : 747,205.06 = 299,736 : x
  2. Step 2: Convert to fraction form
    541,470.51/747,205.06 = 299,736/x
  3. Step 3: Cross multiply
    541,470.51x = 747,205.06 × 299,736
  4. Step 4: Simplify right side
    541,470.51x = 223,964,255,864.16
  5. Step 5: Solve for x
    x = 223,964,255,864.16/541,470.51
  6. Step 6: Final answer
    x = 413,622.26

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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.