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Finding the Fourth Proportional to 413,248.50, 570,237.30 and 231,918.84

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Solution

The fourth proportional to 413,248.50, 570,237.30 and 231,918.84 is: 320,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,248.50 : 570,237.30 = 231,918.84 : x
  2. Step 2: Convert to fraction form
    413,248.50/570,237.30 = 231,918.84/x
  3. Step 3: Cross multiply
    413,248.50x = 570,237.30 × 231,918.84
  4. Step 4: Simplify right side
    413,248.50x = 132,248,773,140.73
  5. Step 5: Solve for x
    x = 132,248,773,140.73/413,248.50
  6. Step 6: Final answer
    x = 320,022.39

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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.