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Finding the Fourth Proportional to 406,569.29, 561,050.51 and 234,494.60

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Solution

The fourth proportional to 406,569.29, 561,050.51 and 234,494.60 is: 323,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,569.29 : 561,050.51 = 234,494.60 : x
  2. Step 2: Convert to fraction form
    406,569.29/561,050.51 = 234,494.60/x
  3. Step 3: Cross multiply
    406,569.29x = 561,050.51 × 234,494.60
  4. Step 4: Simplify right side
    406,569.29x = 131,563,310,944.52
  5. Step 5: Solve for x
    x = 131,563,310,944.52/406,569.29
  6. Step 6: Final answer
    x = 323,593.83

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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.