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Finding the Fourth Proportional to 423,206.01, 584,022.69 and 232,222.59

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Solution

The fourth proportional to 423,206.01, 584,022.69 and 232,222.59 is: 320,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,206.01 : 584,022.69 = 232,222.59 : x
  2. Step 2: Convert to fraction form
    423,206.01/584,022.69 = 232,222.59/x
  3. Step 3: Cross multiply
    423,206.01x = 584,022.69 × 232,222.59
  4. Step 4: Simplify right side
    423,206.01x = 135,623,261,690.57
  5. Step 5: Solve for x
    x = 135,623,261,690.57/423,206.01
  6. Step 6: Final answer
    x = 320,466.29

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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.