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Finding the Fourth Proportional to 423,378.34, 584,268.72 and 232,409.14

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Solution

The fourth proportional to 423,378.34, 584,268.72 and 232,409.14 is: 320,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,378.34 : 584,268.72 = 232,409.14 : x
  2. Step 2: Convert to fraction form
    423,378.34/584,268.72 = 232,409.14/x
  3. Step 3: Cross multiply
    423,378.34x = 584,268.72 × 232,409.14
  4. Step 4: Simplify right side
    423,378.34x = 135,789,390,744.10
  5. Step 5: Solve for x
    x = 135,789,390,744.10/423,378.34
  6. Step 6: Final answer
    x = 320,728.24

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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.