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Finding the Fourth Proportional to 384,049.91, 576,074.93 and 103,567.19

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Solution

The fourth proportional to 384,049.91, 576,074.93 and 103,567.19 is: 155,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,049.91 : 576,074.93 = 103,567.19 : x
  2. Step 2: Convert to fraction form
    384,049.91/576,074.93 = 103,567.19/x
  3. Step 3: Cross multiply
    384,049.91x = 576,074.93 × 103,567.19
  4. Step 4: Simplify right side
    384,049.91x = 59,662,461,729.55
  5. Step 5: Solve for x
    x = 59,662,461,729.55/384,049.91
  6. Step 6: Final answer
    x = 155,350.80

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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.