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Finding the Fourth Proportional to 657,833.64, 907,810.50 and 356,027.64

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Solution

The fourth proportional to 657,833.64, 907,810.50 and 356,027.64 is: 491,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,833.64 : 907,810.50 = 356,027.64 : x
  2. Step 2: Convert to fraction form
    657,833.64/907,810.50 = 356,027.64/x
  3. Step 3: Cross multiply
    657,833.64x = 907,810.50 × 356,027.64
  4. Step 4: Simplify right side
    657,833.64x = 323,205,629,882.22
  5. Step 5: Solve for x
    x = 323,205,629,882.22/657,833.64
  6. Step 6: Final answer
    x = 491,318.18

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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.