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Finding the Fourth Proportional to 294,394.49, 406,263.23 and 165,315.01

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Solution

The fourth proportional to 294,394.49, 406,263.23 and 165,315.01 is: 228,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,394.49 : 406,263.23 = 165,315.01 : x
  2. Step 2: Convert to fraction form
    294,394.49/406,263.23 = 165,315.01/x
  3. Step 3: Cross multiply
    294,394.49x = 406,263.23 × 165,315.01
  4. Step 4: Simplify right side
    294,394.49x = 67,161,407,072.19
  5. Step 5: Solve for x
    x = 67,161,407,072.19/294,394.49
  6. Step 6: Final answer
    x = 228,134.05

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