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Finding the Fourth Proportional to 524,384.37, 723,655.49 and 298,031.49

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Solution

The fourth proportional to 524,384.37, 723,655.49 and 298,031.49 is: 411,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,384.37 : 723,655.49 = 298,031.49 : x
  2. Step 2: Convert to fraction form
    524,384.37/723,655.49 = 298,031.49/x
  3. Step 3: Cross multiply
    524,384.37x = 723,655.49 × 298,031.49
  4. Step 4: Simplify right side
    524,384.37x = 215,672,122,441.22
  5. Step 5: Solve for x
    x = 215,672,122,441.22/524,384.37
  6. Step 6: Final answer
    x = 411,286.33

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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.