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Finding the Fourth Proportional to 418,256.52, 577,346.31 and 257,327.34

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Solution

The fourth proportional to 418,256.52, 577,346.31 and 257,327.34 is: 355,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,256.52 : 577,346.31 = 257,327.34 : x
  2. Step 2: Convert to fraction form
    418,256.52/577,346.31 = 257,327.34/x
  3. Step 3: Cross multiply
    418,256.52x = 577,346.31 × 257,327.34
  4. Step 4: Simplify right side
    418,256.52x = 148,566,990,211.12
  5. Step 5: Solve for x
    x = 148,566,990,211.12/418,256.52
  6. Step 6: Final answer
    x = 355,205.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.