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Finding the Fourth Proportional to 411,872.32, 616,643.70 and 261,740.44

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Solution

The fourth proportional to 411,872.32, 616,643.70 and 261,740.44 is: 391,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,872.32 : 616,643.70 = 261,740.44 : x
  2. Step 2: Convert to fraction form
    411,872.32/616,643.70 = 261,740.44/x
  3. Step 3: Cross multiply
    411,872.32x = 616,643.70 × 261,740.44
  4. Step 4: Simplify right side
    411,872.32x = 161,400,593,361.23
  5. Step 5: Solve for x
    x = 161,400,593,361.23/411,872.32
  6. Step 6: Final answer
    x = 391,870.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.