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Finding the Fourth Proportional to 423,301.10, 584,137.23 and 232,317.74

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Solution

The fourth proportional to 423,301.10, 584,137.23 and 232,317.74 is: 320,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,301.10 : 584,137.23 = 232,317.74 : x
  2. Step 2: Convert to fraction form
    423,301.10/584,137.23 = 232,317.74/x
  3. Step 3: Cross multiply
    423,301.10x = 584,137.23 × 232,317.74
  4. Step 4: Simplify right side
    423,301.10x = 135,705,441,123.46
  5. Step 5: Solve for x
    x = 135,705,441,123.46/423,301.10
  6. Step 6: Final answer
    x = 320,588.44

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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.