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Finding the Fourth Proportional to 401,049.70, 601,380.15 and 223,368.10

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Solution

The fourth proportional to 401,049.70, 601,380.15 and 223,368.10 is: 334,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,049.70 : 601,380.15 = 223,368.10 : x
  2. Step 2: Convert to fraction form
    401,049.70/601,380.15 = 223,368.10/x
  3. Step 3: Cross multiply
    401,049.70x = 601,380.15 × 223,368.10
  4. Step 4: Simplify right side
    401,049.70x = 134,329,141,483.22
  5. Step 5: Solve for x
    x = 134,329,141,483.22/401,049.70
  6. Step 6: Final answer
    x = 334,943.88

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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.