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Finding the Fourth Proportional to 403,438.40, 604,898.40 and 166,875.20

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Solution

The fourth proportional to 403,438.40, 604,898.40 and 166,875.20 is: 250,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,438.40 : 604,898.40 = 166,875.20 : x
  2. Step 2: Convert to fraction form
    403,438.40/604,898.40 = 166,875.20/x
  3. Step 3: Cross multiply
    403,438.40x = 604,898.40 × 166,875.20
  4. Step 4: Simplify right side
    403,438.40x = 100,942,541,479.68
  5. Step 5: Solve for x
    x = 100,942,541,479.68/403,438.40
  6. Step 6: Final answer
    x = 250,205.59

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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.