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Finding the Fourth Proportional to 437,996.42, 604,217.77 and 282,894.38

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Solution

The fourth proportional to 437,996.42, 604,217.77 and 282,894.38 is: 390,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,996.42 : 604,217.77 = 282,894.38 : x
  2. Step 2: Convert to fraction form
    437,996.42/604,217.77 = 282,894.38/x
  3. Step 3: Cross multiply
    437,996.42x = 604,217.77 × 282,894.38
  4. Step 4: Simplify right side
    437,996.42x = 170,929,811,429.13
  5. Step 5: Solve for x
    x = 170,929,811,429.13/437,996.42
  6. Step 6: Final answer
    x = 390,253.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.