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Finding the Fourth Proportional to 541,911.18, 747,827.64 and 300,193.01

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Solution

The fourth proportional to 541,911.18, 747,827.64 and 300,193.01 is: 414,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,911.18 : 747,827.64 = 300,193.01 : x
  2. Step 2: Convert to fraction form
    541,911.18/747,827.64 = 300,193.01/x
  3. Step 3: Cross multiply
    541,911.18x = 747,827.64 × 300,193.01
  4. Step 4: Simplify right side
    541,911.18x = 224,492,626,473.66
  5. Step 5: Solve for x
    x = 224,492,626,473.66/541,911.18
  6. Step 6: Final answer
    x = 414,260.92

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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.