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Finding the Fourth Proportional to 413,248.68, 570,291.60 and 231,973.68

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Solution

The fourth proportional to 413,248.68, 570,291.60 and 231,973.68 is: 320,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,248.68 : 570,291.60 = 231,973.68 : x
  2. Step 2: Convert to fraction form
    413,248.68/570,291.60 = 231,973.68/x
  3. Step 3: Cross multiply
    413,248.68x = 570,291.60 × 231,973.68
  4. Step 4: Simplify right side
    413,248.68x = 132,292,641,125.09
  5. Step 5: Solve for x
    x = 132,292,641,125.09/413,248.68
  6. Step 6: Final answer
    x = 320,128.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.