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Finding the Fourth Proportional to 524,404.05, 723,699.17 and 294,972

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Solution

The fourth proportional to 524,404.05, 723,699.17 and 294,972 is: 407,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,404.05 : 723,699.17 = 294,972 : x
  2. Step 2: Convert to fraction form
    524,404.05/723,699.17 = 294,972/x
  3. Step 3: Cross multiply
    524,404.05x = 723,699.17 × 294,972
  4. Step 4: Simplify right side
    524,404.05x = 213,470,991,573.24
  5. Step 5: Solve for x
    x = 213,470,991,573.24/524,404.05
  6. Step 6: Final answer
    x = 407,073.50

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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.