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Finding the Fourth Proportional to 657,477.56, 985,393.07 and 353,123.78

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Solution

The fourth proportional to 657,477.56, 985,393.07 and 353,123.78 is: 529,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,477.56 : 985,393.07 = 353,123.78 : x
  2. Step 2: Convert to fraction form
    657,477.56/985,393.07 = 353,123.78/x
  3. Step 3: Cross multiply
    657,477.56x = 985,393.07 × 353,123.78
  4. Step 4: Simplify right side
    657,477.56x = 347,965,726,362.07
  5. Step 5: Solve for x
    x = 347,965,726,362.07/657,477.56
  6. Step 6: Final answer
    x = 529,243.50

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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.