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Finding the Fourth Proportional to 416,790.84, 624,434.58 and 256,587.96

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Solution

The fourth proportional to 416,790.84, 624,434.58 and 256,587.96 is: 384,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,790.84 : 624,434.58 = 256,587.96 : x
  2. Step 2: Convert to fraction form
    416,790.84/624,434.58 = 256,587.96/x
  3. Step 3: Cross multiply
    416,790.84x = 624,434.58 × 256,587.96
  4. Step 4: Simplify right side
    416,790.84x = 160,222,395,035.66
  5. Step 5: Solve for x
    x = 160,222,395,035.66/416,790.84
  6. Step 6: Final answer
    x = 384,419.19

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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.