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Finding the Fourth Proportional to 286,322.45, 429,110.06 and 159,957.59

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Solution

The fourth proportional to 286,322.45, 429,110.06 and 159,957.59 is: 239,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,322.45 : 429,110.06 = 159,957.59 : x
  2. Step 2: Convert to fraction form
    286,322.45/429,110.06 = 159,957.59/x
  3. Step 3: Cross multiply
    286,322.45x = 429,110.06 × 159,957.59
  4. Step 4: Simplify right side
    286,322.45x = 68,639,408,097.02
  5. Step 5: Solve for x
    x = 68,639,408,097.02/286,322.45
  6. Step 6: Final answer
    x = 239,727.65

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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.