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Finding the Fourth Proportional to 385,382.90, 578,045.55 and 160,685.30

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Solution

The fourth proportional to 385,382.90, 578,045.55 and 160,685.30 is: 241,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,382.90 : 578,045.55 = 160,685.30 : x
  2. Step 2: Convert to fraction form
    385,382.90/578,045.55 = 160,685.30/x
  3. Step 3: Cross multiply
    385,382.90x = 578,045.55 × 160,685.30
  4. Step 4: Simplify right side
    385,382.90x = 92,883,422,615.42
  5. Step 5: Solve for x
    x = 92,883,422,615.42/385,382.90
  6. Step 6: Final answer
    x = 241,015.94

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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.