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Finding the Fourth Proportional to 541,688.36, 747,529.26 and 299,970.64

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Solution

The fourth proportional to 541,688.36, 747,529.26 and 299,970.64 is: 413,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,688.36 : 747,529.26 = 299,970.64 : x
  2. Step 2: Convert to fraction form
    541,688.36/747,529.26 = 299,970.64/x
  3. Step 3: Cross multiply
    541,688.36x = 747,529.26 × 299,970.64
  4. Step 4: Simplify right side
    541,688.36x = 224,236,830,540.93
  5. Step 5: Solve for x
    x = 224,236,830,540.93/541,688.36
  6. Step 6: Final answer
    x = 413,959.11

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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.