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Finding the Fourth Proportional to 413,773, 571,007.28 and 234,925

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Solution

The fourth proportional to 413,773, 571,007.28 and 234,925 is: 324,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,773 : 571,007.28 = 234,925 : x
  2. Step 2: Convert to fraction form
    413,773/571,007.28 = 234,925/x
  3. Step 3: Cross multiply
    413,773x = 571,007.28 × 234,925
  4. Step 4: Simplify right side
    413,773x = 134,143,885,254
  5. Step 5: Solve for x
    x = 134,143,885,254/413,773
  6. Step 6: Final answer
    x = 324,196.81

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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.