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Finding the Fourth Proportional to 314,865, 472,344.84 and 112,445.37

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Solution

The fourth proportional to 314,865, 472,344.84 and 112,445.37 is: 168,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,865 : 472,344.84 = 112,445.37 : x
  2. Step 2: Convert to fraction form
    314,865/472,344.84 = 112,445.37/x
  3. Step 3: Cross multiply
    314,865x = 472,344.84 × 112,445.37
  4. Step 4: Simplify right side
    314,865x = 53,112,990,301.39
  5. Step 5: Solve for x
    x = 53,112,990,301.39/314,865
  6. Step 6: Final answer
    x = 168,684.96

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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.