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Finding the Fourth Proportional to 314,141.70, 433,321.15 and 273,951.93

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Solution

The fourth proportional to 314,141.70, 433,321.15 and 273,951.93 is: 377,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,141.70 : 433,321.15 = 273,951.93 : x
  2. Step 2: Convert to fraction form
    314,141.70/433,321.15 = 273,951.93/x
  3. Step 3: Cross multiply
    314,141.70x = 433,321.15 × 273,951.93
  4. Step 4: Simplify right side
    314,141.70x = 118,709,165,352.32
  5. Step 5: Solve for x
    x = 118,709,165,352.32/314,141.70
  6. Step 6: Final answer
    x = 377,884.14

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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.