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Finding the Fourth Proportional to 423,266.96, 584,106.76 and 232,283.60

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Solution

The fourth proportional to 423,266.96, 584,106.76 and 232,283.60 is: 320,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,266.96 : 584,106.76 = 232,283.60 : x
  2. Step 2: Convert to fraction form
    423,266.96/584,106.76 = 232,283.60/x
  3. Step 3: Cross multiply
    423,266.96x = 584,106.76 × 232,283.60
  4. Step 4: Simplify right side
    423,266.96x = 135,678,420,997.14
  5. Step 5: Solve for x
    x = 135,678,420,997.14/423,266.96
  6. Step 6: Final answer
    x = 320,550.47

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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.