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Finding the Fourth Proportional to 316,795.83, 437,112.73 and 180,874.01

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Solution

The fourth proportional to 316,795.83, 437,112.73 and 180,874.01 is: 249,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,795.83 : 437,112.73 = 180,874.01 : x
  2. Step 2: Convert to fraction form
    316,795.83/437,112.73 = 180,874.01/x
  3. Step 3: Cross multiply
    316,795.83x = 437,112.73 × 180,874.01
  4. Step 4: Simplify right side
    316,795.83x = 79,062,333,107.31
  5. Step 5: Solve for x
    x = 79,062,333,107.31/316,795.83
  6. Step 6: Final answer
    x = 249,568.73

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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.