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Finding the Fourth Proportional to 423,223.84, 584,028.84 and 232,233.04

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Solution

The fourth proportional to 423,223.84, 584,028.84 and 232,233.04 is: 320,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,223.84 : 584,028.84 = 232,233.04 : x
  2. Step 2: Convert to fraction form
    423,223.84/584,028.84 = 232,233.04/x
  3. Step 3: Cross multiply
    423,223.84x = 584,028.84 × 232,233.04
  4. Step 4: Simplify right side
    423,223.84x = 135,630,792,960.87
  5. Step 5: Solve for x
    x = 135,630,792,960.87/423,223.84
  6. Step 6: Final answer
    x = 320,470.59

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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.