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Finding the Fourth Proportional to 413,987.54, 571,218.98 and 241,872.24

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Solution

The fourth proportional to 413,987.54, 571,218.98 and 241,872.24 is: 333,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,987.54 : 571,218.98 = 241,872.24 : x
  2. Step 2: Convert to fraction form
    413,987.54/571,218.98 = 241,872.24/x
  3. Step 3: Cross multiply
    413,987.54x = 571,218.98 × 241,872.24
  4. Step 4: Simplify right side
    413,987.54x = 138,162,014,223.12
  5. Step 5: Solve for x
    x = 138,162,014,223.12/413,987.54
  6. Step 6: Final answer
    x = 333,734.72

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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.