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Finding the Fourth Proportional to 616,033.12, 850,041.67 and 344,066.31

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Solution

The fourth proportional to 616,033.12, 850,041.67 and 344,066.31 is: 474,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,033.12 : 850,041.67 = 344,066.31 : x
  2. Step 2: Convert to fraction form
    616,033.12/850,041.67 = 344,066.31/x
  3. Step 3: Cross multiply
    616,033.12x = 850,041.67 × 344,066.31
  4. Step 4: Simplify right side
    616,033.12x = 292,470,700,743.14
  5. Step 5: Solve for x
    x = 292,470,700,743.14/616,033.12
  6. Step 6: Final answer
    x = 474,764.57

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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.