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Finding the Fourth Proportional to 403,293.40, 604,997.70 and 137,066.20

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Solution

The fourth proportional to 403,293.40, 604,997.70 and 137,066.20 is: 205,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,293.40 : 604,997.70 = 137,066.20 : x
  2. Step 2: Convert to fraction form
    403,293.40/604,997.70 = 137,066.20/x
  3. Step 3: Cross multiply
    403,293.40x = 604,997.70 × 137,066.20
  4. Step 4: Simplify right side
    403,293.40x = 82,924,735,747.74
  5. Step 5: Solve for x
    x = 82,924,735,747.74/403,293.40
  6. Step 6: Final answer
    x = 205,618.88

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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.