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Finding the Fourth Proportional to 314,940.84, 472,362.48 and 115,214.52

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Solution

The fourth proportional to 314,940.84, 472,362.48 and 115,214.52 is: 172,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,940.84 : 472,362.48 = 115,214.52 : x
  2. Step 2: Convert to fraction form
    314,940.84/472,362.48 = 115,214.52/x
  3. Step 3: Cross multiply
    314,940.84x = 472,362.48 × 115,214.52
  4. Step 4: Simplify right side
    314,940.84x = 54,423,016,399.21
  5. Step 5: Solve for x
    x = 54,423,016,399.21/314,940.84
  6. Step 6: Final answer
    x = 172,803.93

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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.