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Finding the Fourth Proportional to 524,302.74, 723,530.85 and 294,859.98

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Solution

The fourth proportional to 524,302.74, 723,530.85 and 294,859.98 is: 406,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,302.74 : 723,530.85 = 294,859.98 : x
  2. Step 2: Convert to fraction form
    524,302.74/723,530.85 = 294,859.98/x
  3. Step 3: Cross multiply
    524,302.74x = 723,530.85 × 294,859.98
  4. Step 4: Simplify right side
    524,302.74x = 213,340,291,960.38
  5. Step 5: Solve for x
    x = 213,340,291,960.38/524,302.74
  6. Step 6: Final answer
    x = 406,902.87

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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.