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Finding the Fourth Proportional to 541,374, 747,077.40 and 299,667.12

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Solution

The fourth proportional to 541,374, 747,077.40 and 299,667.12 is: 413,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,374 : 747,077.40 = 299,667.12 : x
  2. Step 2: Convert to fraction form
    541,374/747,077.40 = 299,667.12/x
  3. Step 3: Cross multiply
    541,374x = 747,077.40 × 299,667.12
  4. Step 4: Simplify right side
    541,374x = 223,874,532,875.09
  5. Step 5: Solve for x
    x = 223,874,532,875.09/541,374
  6. Step 6: Final answer
    x = 413,530.26

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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.