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Finding the Fourth Proportional to 524,247.50, 723,461.82 and 297,893

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Solution

The fourth proportional to 524,247.50, 723,461.82 and 297,893 is: 411,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,247.50 : 723,461.82 = 297,893 : x
  2. Step 2: Convert to fraction form
    524,247.50/723,461.82 = 297,893/x
  3. Step 3: Cross multiply
    524,247.50x = 723,461.82 × 297,893
  4. Step 4: Simplify right side
    524,247.50x = 215,514,211,945.26
  5. Step 5: Solve for x
    x = 215,514,211,945.26/524,247.50
  6. Step 6: Final answer
    x = 411,092.49

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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.