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Finding the Fourth Proportional to 423,757.84, 584,643.06 and 239,971.24

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Solution

The fourth proportional to 423,757.84, 584,643.06 and 239,971.24 is: 331,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,757.84 : 584,643.06 = 239,971.24 : x
  2. Step 2: Convert to fraction form
    423,757.84/584,643.06 = 239,971.24/x
  3. Step 3: Cross multiply
    423,757.84x = 584,643.06 × 239,971.24
  4. Step 4: Simplify right side
    423,757.84x = 140,297,520,065.59
  5. Step 5: Solve for x
    x = 140,297,520,065.59/423,757.84
  6. Step 6: Final answer
    x = 331,079.47

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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.