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Finding the Fourth Proportional to 283,856, 391,703.40 and 162,912.17

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Solution

The fourth proportional to 283,856, 391,703.40 and 162,912.17 is: 224,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,856 : 391,703.40 = 162,912.17 : x
  2. Step 2: Convert to fraction form
    283,856/391,703.40 = 162,912.17/x
  3. Step 3: Cross multiply
    283,856x = 391,703.40 × 162,912.17
  4. Step 4: Simplify right side
    283,856x = 63,813,248,931.86
  5. Step 5: Solve for x
    x = 63,813,248,931.86/283,856
  6. Step 6: Final answer
    x = 224,808.53

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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.