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Finding the Fourth Proportional to 541,584.41, 747,409.80 and 299,866.95

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Solution

The fourth proportional to 541,584.41, 747,409.80 and 299,866.95 is: 413,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,584.41 : 747,409.80 = 299,866.95 : x
  2. Step 2: Convert to fraction form
    541,584.41/747,409.80 = 299,866.95/x
  3. Step 3: Cross multiply
    541,584.41x = 747,409.80 × 299,866.95
  4. Step 4: Simplify right side
    541,584.41x = 224,123,497,126.11
  5. Step 5: Solve for x
    x = 224,123,497,126.11/541,584.41
  6. Step 6: Final answer
    x = 413,829.30

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1.5x scale

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.