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Finding the Fourth Proportional to 461,503.54, 636,906.83 and 257,594.14

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Solution

The fourth proportional to 461,503.54, 636,906.83 and 257,594.14 is: 355,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,503.54 : 636,906.83 = 257,594.14 : x
  2. Step 2: Convert to fraction form
    461,503.54/636,906.83 = 257,594.14/x
  3. Step 3: Cross multiply
    461,503.54x = 636,906.83 × 257,594.14
  4. Step 4: Simplify right side
    461,503.54x = 164,063,467,133.98
  5. Step 5: Solve for x
    x = 164,063,467,133.98/461,503.54
  6. Step 6: Final answer
    x = 355,497.74

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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.