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Finding the Fourth Proportional to 541,642.66, 747,457.71 and 299,920.04

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Solution

The fourth proportional to 541,642.66, 747,457.71 and 299,920.04 is: 413,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642.66 : 747,457.71 = 299,920.04 : x
  2. Step 2: Convert to fraction form
    541,642.66/747,457.71 = 299,920.04/x
  3. Step 3: Cross multiply
    541,642.66x = 747,457.71 × 299,920.04
  4. Step 4: Simplify right side
    541,642.66x = 224,177,541,044.62
  5. Step 5: Solve for x
    x = 224,177,541,044.62/541,642.66
  6. Step 6: Final answer
    x = 413,884.58

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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.