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Finding the Fourth Proportional to 332,036, 458,209.68 and 212,804

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Solution

The fourth proportional to 332,036, 458,209.68 and 212,804 is: 293,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,036 : 458,209.68 = 212,804 : x
  2. Step 2: Convert to fraction form
    332,036/458,209.68 = 212,804/x
  3. Step 3: Cross multiply
    332,036x = 458,209.68 × 212,804
  4. Step 4: Simplify right side
    332,036x = 97,508,852,742.72
  5. Step 5: Solve for x
    x = 97,508,852,742.72/332,036
  6. Step 6: Final answer
    x = 293,669.52

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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.