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Finding the Fourth Proportional to 423,516.57, 584,462.30 and 232,530.72

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Solution

The fourth proportional to 423,516.57, 584,462.30 and 232,530.72 is: 320,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,516.57 : 584,462.30 = 232,530.72 : x
  2. Step 2: Convert to fraction form
    423,516.57/584,462.30 = 232,530.72/x
  3. Step 3: Cross multiply
    423,516.57x = 584,462.30 × 232,530.72
  4. Step 4: Simplify right side
    423,516.57x = 135,905,438,269.20
  5. Step 5: Solve for x
    x = 135,905,438,269.20/423,516.57
  6. Step 6: Final answer
    x = 320,897.57

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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.