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Finding the Fourth Proportional to 271,971.06, 407,611.26 and 153,708.90

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Solution

The fourth proportional to 271,971.06, 407,611.26 and 153,708.90 is: 230,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,971.06 : 407,611.26 = 153,708.90 : x
  2. Step 2: Convert to fraction form
    271,971.06/407,611.26 = 153,708.90/x
  3. Step 3: Cross multiply
    271,971.06x = 407,611.26 × 153,708.90
  4. Step 4: Simplify right side
    271,971.06x = 62,653,478,402.21
  5. Step 5: Solve for x
    x = 62,653,478,402.21/271,971.06
  6. Step 6: Final answer
    x = 230,368.18

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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.