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Finding the Fourth Proportional to 385,549.40, 578,295.30 and 160,851.80

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Solution

The fourth proportional to 385,549.40, 578,295.30 and 160,851.80 is: 241,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,549.40 : 578,295.30 = 160,851.80 : x
  2. Step 2: Convert to fraction form
    385,549.40/578,295.30 = 160,851.80/x
  3. Step 3: Cross multiply
    385,549.40x = 578,295.30 × 160,851.80
  4. Step 4: Simplify right side
    385,549.40x = 93,019,839,936.54
  5. Step 5: Solve for x
    x = 93,019,839,936.54/385,549.40
  6. Step 6: Final answer
    x = 241,265.68

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Why These Related Problems?

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