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Finding the Fourth Proportional to 413,215.34, 570,241.40 and 231,923.64

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Solution

The fourth proportional to 413,215.34, 570,241.40 and 231,923.64 is: 320,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,215.34 : 570,241.40 = 231,923.64 : x
  2. Step 2: Convert to fraction form
    413,215.34/570,241.40 = 231,923.64/x
  3. Step 3: Cross multiply
    413,215.34x = 570,241.40 × 231,923.64
  4. Step 4: Simplify right side
    413,215.34x = 132,252,461,166.70
  5. Step 5: Solve for x
    x = 132,252,461,166.70/413,215.34
  6. Step 6: Final answer
    x = 320,057.00

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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.