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Finding the Fourth Proportional to 314,855.70, 472,283.55 and 173,138.10

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Solution

The fourth proportional to 314,855.70, 472,283.55 and 173,138.10 is: 259,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.70 : 472,283.55 = 173,138.10 : x
  2. Step 2: Convert to fraction form
    314,855.70/472,283.55 = 173,138.10/x
  3. Step 3: Cross multiply
    314,855.70x = 472,283.55 × 173,138.10
  4. Step 4: Simplify right side
    314,855.70x = 81,770,276,508.26
  5. Step 5: Solve for x
    x = 81,770,276,508.26/314,855.70
  6. Step 6: Final answer
    x = 259,707.15

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1.5x scale

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.