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Finding the Fourth Proportional to 403,306.40, 604,700.40 and 166,743.20

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Solution

The fourth proportional to 403,306.40, 604,700.40 and 166,743.20 is: 250,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,306.40 : 604,700.40 = 166,743.20 : x
  2. Step 2: Convert to fraction form
    403,306.40/604,700.40 = 166,743.20/x
  3. Step 3: Cross multiply
    403,306.40x = 604,700.40 × 166,743.20
  4. Step 4: Simplify right side
    403,306.40x = 100,829,679,737.28
  5. Step 5: Solve for x
    x = 100,829,679,737.28/403,306.40
  6. Step 6: Final answer
    x = 250,007.64

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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.