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Finding the Fourth Proportional to 314,924.96, 472,166.01 and 146,266.26

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Solution

The fourth proportional to 314,924.96, 472,166.01 and 146,266.26 is: 219,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,924.96 : 472,166.01 = 146,266.26 : x
  2. Step 2: Convert to fraction form
    314,924.96/472,166.01 = 146,266.26/x
  3. Step 3: Cross multiply
    314,924.96x = 472,166.01 × 146,266.26
  4. Step 4: Simplify right side
    314,924.96x = 69,061,954,611.20
  5. Step 5: Solve for x
    x = 69,061,954,611.20/314,924.96
  6. Step 6: Final answer
    x = 219,296.54

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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.