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Finding the Fourth Proportional to 657,656.50, 907,566.78 and 355,850.50

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Solution

The fourth proportional to 657,656.50, 907,566.78 and 355,850.50 is: 491,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,656.50 : 907,566.78 = 355,850.50 : x
  2. Step 2: Convert to fraction form
    657,656.50/907,566.78 = 355,850.50/x
  3. Step 3: Cross multiply
    657,656.50x = 907,566.78 × 355,850.50
  4. Step 4: Simplify right side
    657,656.50x = 322,958,092,446.39
  5. Step 5: Solve for x
    x = 322,958,092,446.39/657,656.50
  6. Step 6: Final answer
    x = 491,074.13

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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.