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Finding the Fourth Proportional to 423,261.16, 584,107.56 and 232,292.32

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Solution

The fourth proportional to 423,261.16, 584,107.56 and 232,292.32 is: 320,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,261.16 : 584,107.56 = 232,292.32 : x
  2. Step 2: Convert to fraction form
    423,261.16/584,107.56 = 232,292.32/x
  3. Step 3: Cross multiply
    423,261.16x = 584,107.56 × 232,292.32
  4. Step 4: Simplify right side
    423,261.16x = 135,683,700,241.94
  5. Step 5: Solve for x
    x = 135,683,700,241.94/423,261.16
  6. Step 6: Final answer
    x = 320,567.33

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1.5x scale

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.