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Finding the Fourth Proportional to 423,302.34, 584,138.49 and 232,316.10

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Solution

The fourth proportional to 423,302.34, 584,138.49 and 232,316.10 is: 320,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,302.34 : 584,138.49 = 232,316.10 : x
  2. Step 2: Convert to fraction form
    423,302.34/584,138.49 = 232,316.10/x
  3. Step 3: Cross multiply
    423,302.34x = 584,138.49 × 232,316.10
  4. Step 4: Simplify right side
    423,302.34x = 135,704,775,856.69
  5. Step 5: Solve for x
    x = 135,704,775,856.69/423,302.34
  6. Step 6: Final answer
    x = 320,585.93

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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.