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Finding the Fourth Proportional to 291,235.50, 401,914.71 and 178,036.38

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Solution

The fourth proportional to 291,235.50, 401,914.71 and 178,036.38 is: 245,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,235.50 : 401,914.71 = 178,036.38 : x
  2. Step 2: Convert to fraction form
    291,235.50/401,914.71 = 178,036.38/x
  3. Step 3: Cross multiply
    291,235.50x = 401,914.71 × 178,036.38
  4. Step 4: Simplify right side
    291,235.50x = 71,555,440,037.15
  5. Step 5: Solve for x
    x = 71,555,440,037.15/291,235.50
  6. Step 6: Final answer
    x = 245,696.15

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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.