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Finding the Fourth Proportional to 286,829.44, 395,794.32 and 159,484.48

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Solution

The fourth proportional to 286,829.44, 395,794.32 and 159,484.48 is: 220,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,829.44 : 395,794.32 = 159,484.48 : x
  2. Step 2: Convert to fraction form
    286,829.44/395,794.32 = 159,484.48/x
  3. Step 3: Cross multiply
    286,829.44x = 395,794.32 × 159,484.48
  4. Step 4: Simplify right side
    286,829.44x = 63,123,051,312.15
  5. Step 5: Solve for x
    x = 63,123,051,312.15/286,829.44
  6. Step 6: Final answer
    x = 220,071.73

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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.