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Finding the Fourth Proportional to 461,905.54, 637,422.91 and 257,954.30

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Solution

The fourth proportional to 461,905.54, 637,422.91 and 257,954.30 is: 355,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,905.54 : 637,422.91 = 257,954.30 : x
  2. Step 2: Convert to fraction form
    461,905.54/637,422.91 = 257,954.30/x
  3. Step 3: Cross multiply
    461,905.54x = 637,422.91 × 257,954.30
  4. Step 4: Simplify right side
    461,905.54x = 164,425,978,959.46
  5. Step 5: Solve for x
    x = 164,425,978,959.46/461,905.54
  6. Step 6: Final answer
    x = 355,973.17

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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.