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Finding the Fourth Proportional to 541,364.99, 747,090.32 and 299,670.10

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Solution

The fourth proportional to 541,364.99, 747,090.32 and 299,670.10 is: 413,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,364.99 : 747,090.32 = 299,670.10 : x
  2. Step 2: Convert to fraction form
    541,364.99/747,090.32 = 299,670.10/x
  3. Step 3: Cross multiply
    541,364.99x = 747,090.32 × 299,670.10
  4. Step 4: Simplify right side
    541,364.99x = 223,880,627,537.36
  5. Step 5: Solve for x
    x = 223,880,627,537.36/541,364.99
  6. Step 6: Final answer
    x = 413,548.41

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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.