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Finding the Fourth Proportional to 413,741.07, 620,611.64 and 133,258.32

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Solution

The fourth proportional to 413,741.07, 620,611.64 and 133,258.32 is: 199,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741.07 : 620,611.64 = 133,258.32 : x
  2. Step 2: Convert to fraction form
    413,741.07/620,611.64 = 133,258.32/x
  3. Step 3: Cross multiply
    413,741.07x = 620,611.64 × 133,258.32
  4. Step 4: Simplify right side
    413,741.07x = 82,701,663,852.55
  5. Step 5: Solve for x
    x = 82,701,663,852.55/413,741.07
  6. Step 6: Final answer
    x = 199,887.49

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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.