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Finding the Fourth Proportional to 413,774.01, 570,992.23 and 232,493.58

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Solution

The fourth proportional to 413,774.01, 570,992.23 and 232,493.58 is: 320,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,774.01 : 570,992.23 = 232,493.58 : x
  2. Step 2: Convert to fraction form
    413,774.01/570,992.23 = 232,493.58/x
  3. Step 3: Cross multiply
    413,774.01x = 570,992.23 × 232,493.58
  4. Step 4: Simplify right side
    413,774.01x = 132,752,027,995.50
  5. Step 5: Solve for x
    x = 132,752,027,995.50/413,774.01
  6. Step 6: Final answer
    x = 320,832.20

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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.