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Finding the Fourth Proportional to 491,927.80, 737,762.10 and 154,967.80

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Solution

The fourth proportional to 491,927.80, 737,762.10 and 154,967.80 is: 232,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,927.80 : 737,762.10 = 154,967.80 : x
  2. Step 2: Convert to fraction form
    491,927.80/737,762.10 = 154,967.80/x
  3. Step 3: Cross multiply
    491,927.80x = 737,762.10 × 154,967.80
  4. Step 4: Simplify right side
    491,927.80x = 114,329,369,560.38
  5. Step 5: Solve for x
    x = 114,329,369,560.38/491,927.80
  6. Step 6: Final answer
    x = 232,410.87

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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.