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Finding the Fourth Proportional to 403,716.42, 604,885.50 and 285,159.06

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Solution

The fourth proportional to 403,716.42, 604,885.50 and 285,159.06 is: 427,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,716.42 : 604,885.50 = 285,159.06 : x
  2. Step 2: Convert to fraction form
    403,716.42/604,885.50 = 285,159.06/x
  3. Step 3: Cross multiply
    403,716.42x = 604,885.50 × 285,159.06
  4. Step 4: Simplify right side
    403,716.42x = 172,488,580,587.63
  5. Step 5: Solve for x
    x = 172,488,580,587.63/403,716.42
  6. Step 6: Final answer
    x = 427,251.83

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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.