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Finding the Fourth Proportional to 461,093.38, 636,307.64 and 257,144.54

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Solution

The fourth proportional to 461,093.38, 636,307.64 and 257,144.54 is: 354,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,093.38 : 636,307.64 = 257,144.54 : x
  2. Step 2: Convert to fraction form
    461,093.38/636,307.64 = 257,144.54/x
  3. Step 3: Cross multiply
    461,093.38x = 636,307.64 × 257,144.54
  4. Step 4: Simplify right side
    461,093.38x = 163,623,035,386.29
  5. Step 5: Solve for x
    x = 163,623,035,386.29/461,093.38
  6. Step 6: Final answer
    x = 354,858.78

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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.