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Finding the Fourth Proportional to 385,290.96, 577,837 and 115,365.84

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Solution

The fourth proportional to 385,290.96, 577,837 and 115,365.84 is: 173,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,290.96 : 577,837 = 115,365.84 : x
  2. Step 2: Convert to fraction form
    385,290.96/577,837 = 115,365.84/x
  3. Step 3: Cross multiply
    385,290.96x = 577,837 × 115,365.84
  4. Step 4: Simplify right side
    385,290.96x = 66,662,650,888.08
  5. Step 5: Solve for x
    x = 66,662,650,888.08/385,290.96
  6. Step 6: Final answer
    x = 173,018.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.