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Finding the Fourth Proportional to 314,871.74, 472,309.73 and 115,109.94

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Solution

The fourth proportional to 314,871.74, 472,309.73 and 115,109.94 is: 172,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,871.74 : 472,309.73 = 115,109.94 : x
  2. Step 2: Convert to fraction form
    314,871.74/472,309.73 = 115,109.94/x
  3. Step 3: Cross multiply
    314,871.74x = 472,309.73 × 115,109.94
  4. Step 4: Simplify right side
    314,871.74x = 54,367,544,106.17
  5. Step 5: Solve for x
    x = 54,367,544,106.17/314,871.74
  6. Step 6: Final answer
    x = 172,665.69

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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.