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Finding the Fourth Proportional to 286,535.58, 395,417.78 and 164,027.29

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Solution

The fourth proportional to 286,535.58, 395,417.78 and 164,027.29 is: 226,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,535.58 : 395,417.78 = 164,027.29 : x
  2. Step 2: Convert to fraction form
    286,535.58/395,417.78 = 164,027.29/x
  3. Step 3: Cross multiply
    286,535.58x = 395,417.78 × 164,027.29
  4. Step 4: Simplify right side
    286,535.58x = 64,859,307,341.70
  5. Step 5: Solve for x
    x = 64,859,307,341.70/286,535.58
  6. Step 6: Final answer
    x = 226,356.90

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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.