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Finding the Fourth Proportional to 721,829.64, 995,895.90 and 419,965.32

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Solution

The fourth proportional to 721,829.64, 995,895.90 and 419,965.32 is: 579,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,829.64 : 995,895.90 = 419,965.32 : x
  2. Step 2: Convert to fraction form
    721,829.64/995,895.90 = 419,965.32/x
  3. Step 3: Cross multiply
    721,829.64x = 995,895.90 × 419,965.32
  4. Step 4: Simplify right side
    721,829.64x = 418,241,740,330.19
  5. Step 5: Solve for x
    x = 418,241,740,330.19/721,829.64
  6. Step 6: Final answer
    x = 579,418.91

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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.