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Finding the Fourth Proportional to 418,078.93, 577,188.32 and 275,254.16

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Solution

The fourth proportional to 418,078.93, 577,188.32 and 275,254.16 is: 380,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,078.93 : 577,188.32 = 275,254.16 : x
  2. Step 2: Convert to fraction form
    418,078.93/577,188.32 = 275,254.16/x
  3. Step 3: Cross multiply
    418,078.93x = 577,188.32 × 275,254.16
  4. Step 4: Simplify right side
    418,078.93x = 158,873,486,183.41
  5. Step 5: Solve for x
    x = 158,873,486,183.41/418,078.93
  6. Step 6: Final answer
    x = 380,008.35

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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.