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Finding the Fourth Proportional to 385,306.60, 578,050.14 and 160,813.80

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Solution

The fourth proportional to 385,306.60, 578,050.14 and 160,813.80 is: 241,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,306.60 : 578,050.14 = 160,813.80 : x
  2. Step 2: Convert to fraction form
    385,306.60/578,050.14 = 160,813.80/x
  3. Step 3: Cross multiply
    385,306.60x = 578,050.14 × 160,813.80
  4. Step 4: Simplify right side
    385,306.60x = 92,958,439,603.93
  5. Step 5: Solve for x
    x = 92,958,439,603.93/385,306.60
  6. Step 6: Final answer
    x = 241,258.36

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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.