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Finding the Fourth Proportional to 657,902.72, 907,908.48 and 356,096.72

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Solution

The fourth proportional to 657,902.72, 907,908.48 and 356,096.72 is: 491,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,902.72 : 907,908.48 = 356,096.72 : x
  2. Step 2: Convert to fraction form
    657,902.72/907,908.48 = 356,096.72/x
  3. Step 3: Cross multiply
    657,902.72x = 907,908.48 × 356,096.72
  4. Step 4: Simplify right side
    657,902.72x = 323,303,227,248.64
  5. Step 5: Solve for x
    x = 323,303,227,248.64/657,902.72
  6. Step 6: Final answer
    x = 491,414.95

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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.