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Finding the Fourth Proportional to 285,322.94, 427,983.38 and 85,642.46

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Solution

The fourth proportional to 285,322.94, 427,983.38 and 85,642.46 is: 128,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,322.94 : 427,983.38 = 85,642.46 : x
  2. Step 2: Convert to fraction form
    285,322.94/427,983.38 = 85,642.46/x
  3. Step 3: Cross multiply
    285,322.94x = 427,983.38 × 85,642.46
  4. Step 4: Simplify right side
    285,322.94x = 36,653,549,502.31
  5. Step 5: Solve for x
    x = 36,653,549,502.31/285,322.94
  6. Step 6: Final answer
    x = 128,463.38

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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.