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Finding the Fourth Proportional to 657,844.86, 907,825.89 and 356,038.86

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Solution

The fourth proportional to 657,844.86, 907,825.89 and 356,038.86 is: 491,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,844.86 : 907,825.89 = 356,038.86 : x
  2. Step 2: Convert to fraction form
    657,844.86/907,825.89 = 356,038.86/x
  3. Step 3: Cross multiply
    657,844.86x = 907,825.89 × 356,038.86
  4. Step 4: Simplify right side
    657,844.86x = 323,221,294,954.09
  5. Step 5: Solve for x
    x = 323,221,294,954.09/657,844.86
  6. Step 6: Final answer
    x = 491,333.62

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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.