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Finding the Fourth Proportional to 675,486.96, 932,297.22 and 434,071.32

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Solution

The fourth proportional to 675,486.96, 932,297.22 and 434,071.32 is: 599,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,486.96 : 932,297.22 = 434,071.32 : x
  2. Step 2: Convert to fraction form
    675,486.96/932,297.22 = 434,071.32/x
  3. Step 3: Cross multiply
    675,486.96x = 932,297.22 × 434,071.32
  4. Step 4: Simplify right side
    675,486.96x = 404,683,484,917.73
  5. Step 5: Solve for x
    x = 404,683,484,917.73/675,486.96
  6. Step 6: Final answer
    x = 599,098.89

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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.