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Finding the Fourth Proportional to 286,856.40, 395,871.40 and 157,800.24

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Solution

The fourth proportional to 286,856.40, 395,871.40 and 157,800.24 is: 217,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,856.40 : 395,871.40 = 157,800.24 : x
  2. Step 2: Convert to fraction form
    286,856.40/395,871.40 = 157,800.24/x
  3. Step 3: Cross multiply
    286,856.40x = 395,871.40 × 157,800.24
  4. Step 4: Simplify right side
    286,856.40x = 62,468,601,929.14
  5. Step 5: Solve for x
    x = 62,468,601,929.14/286,856.40
  6. Step 6: Final answer
    x = 217,769.59

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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.