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Finding the Fourth Proportional to 413,801.86, 571,028.34 and 241,735.76

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Solution

The fourth proportional to 413,801.86, 571,028.34 and 241,735.76 is: 333,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,801.86 : 571,028.34 = 241,735.76 : x
  2. Step 2: Convert to fraction form
    413,801.86/571,028.34 = 241,735.76/x
  3. Step 3: Cross multiply
    413,801.86x = 571,028.34 × 241,735.76
  4. Step 4: Simplify right side
    413,801.86x = 138,037,966,896.30
  5. Step 5: Solve for x
    x = 138,037,966,896.30/413,801.86
  6. Step 6: Final answer
    x = 333,584.69

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1.5x scale

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.