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Finding the Fourth Proportional to 413,931, 571,225.50 and 235,083

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Solution

The fourth proportional to 413,931, 571,225.50 and 235,083 is: 324,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,931 : 571,225.50 = 235,083 : x
  2. Step 2: Convert to fraction form
    413,931/571,225.50 = 235,083/x
  3. Step 3: Cross multiply
    413,931x = 571,225.50 × 235,083
  4. Step 4: Simplify right side
    413,931x = 134,285,404,216.50
  5. Step 5: Solve for x
    x = 134,285,404,216.50/413,931
  6. Step 6: Final answer
    x = 324,414.95

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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.