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Finding the Fourth Proportional to 423,516.15, 584,453.25 and 232,541.82

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Solution

The fourth proportional to 423,516.15, 584,453.25 and 232,541.82 is: 320,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,516.15 : 584,453.25 = 232,541.82 : x
  2. Step 2: Convert to fraction form
    423,516.15/584,453.25 = 232,541.82/x
  3. Step 3: Cross multiply
    423,516.15x = 584,453.25 × 232,541.82
  4. Step 4: Simplify right side
    423,516.15x = 135,909,822,459.92
  5. Step 5: Solve for x
    x = 135,909,822,459.92/423,516.15
  6. Step 6: Final answer
    x = 320,908.24

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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.