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Finding the Fourth Proportional to 385,041.33, 577,423.75 and 148,265.01

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Solution

The fourth proportional to 385,041.33, 577,423.75 and 148,265.01 is: 222,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,041.33 : 577,423.75 = 148,265.01 : x
  2. Step 2: Convert to fraction form
    385,041.33/577,423.75 = 148,265.01/x
  3. Step 3: Cross multiply
    385,041.33x = 577,423.75 × 148,265.01
  4. Step 4: Simplify right side
    385,041.33x = 85,611,738,067.99
  5. Step 5: Solve for x
    x = 85,611,738,067.99/385,041.33
  6. Step 6: Final answer
    x = 222,344.28

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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.