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Finding the Fourth Proportional to 403,141.50, 604,338.33 and 178,382.46

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Solution

The fourth proportional to 403,141.50, 604,338.33 and 178,382.46 is: 267,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,141.50 : 604,338.33 = 178,382.46 : x
  2. Step 2: Convert to fraction form
    403,141.50/604,338.33 = 178,382.46/x
  3. Step 3: Cross multiply
    403,141.50x = 604,338.33 × 178,382.46
  4. Step 4: Simplify right side
    403,141.50x = 107,803,357,977.69
  5. Step 5: Solve for x
    x = 107,803,357,977.69/403,141.50
  6. Step 6: Final answer
    x = 267,408.24

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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.