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Finding the Fourth Proportional to 417,967.77, 576,972.09 and 282,185.64

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Solution

The fourth proportional to 417,967.77, 576,972.09 and 282,185.64 is: 389,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,967.77 : 576,972.09 = 282,185.64 : x
  2. Step 2: Convert to fraction form
    417,967.77/576,972.09 = 282,185.64/x
  3. Step 3: Cross multiply
    417,967.77x = 576,972.09 × 282,185.64
  4. Step 4: Simplify right side
    417,967.77x = 162,813,238,478.79
  5. Step 5: Solve for x
    x = 162,813,238,478.79/417,967.77
  6. Step 6: Final answer
    x = 389,535.39

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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.