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Finding the Fourth Proportional to 413,326.87, 570,390.65 and 232,039.15

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Solution

The fourth proportional to 413,326.87, 570,390.65 and 232,039.15 is: 320,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,326.87 : 570,390.65 = 232,039.15 : x
  2. Step 2: Convert to fraction form
    413,326.87/570,390.65 = 232,039.15/x
  3. Step 3: Cross multiply
    413,326.87x = 570,390.65 × 232,039.15
  4. Step 4: Simplify right side
    413,326.87x = 132,352,961,593.95
  5. Step 5: Solve for x
    x = 132,352,961,593.95/413,326.87
  6. Step 6: Final answer
    x = 320,213.79

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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.