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Finding the Fourth Proportional to 298,612.53, 412,085.24 and 164,476.53

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Solution

The fourth proportional to 298,612.53, 412,085.24 and 164,476.53 is: 226,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,612.53 : 412,085.24 = 164,476.53 : x
  2. Step 2: Convert to fraction form
    298,612.53/412,085.24 = 164,476.53/x
  3. Step 3: Cross multiply
    298,612.53x = 412,085.24 × 164,476.53
  4. Step 4: Simplify right side
    298,612.53x = 67,778,349,517.03
  5. Step 5: Solve for x
    x = 67,778,349,517.03/298,612.53
  6. Step 6: Final answer
    x = 226,977.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.