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Finding the Fourth Proportional to 423,384.52, 584,268.42 and 232,401.16

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Solution

The fourth proportional to 423,384.52, 584,268.42 and 232,401.16 is: 320,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,384.52 : 584,268.42 = 232,401.16 : x
  2. Step 2: Convert to fraction form
    423,384.52/584,268.42 = 232,401.16/x
  3. Step 3: Cross multiply
    423,384.52x = 584,268.42 × 232,401.16
  4. Step 4: Simplify right side
    423,384.52x = 135,784,658,559.37
  5. Step 5: Solve for x
    x = 135,784,658,559.37/423,384.52
  6. Step 6: Final answer
    x = 320,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.