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Finding the Fourth Proportional to 294,302.64, 406,109.52 and 165,211.52

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Solution

The fourth proportional to 294,302.64, 406,109.52 and 165,211.52 is: 227,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,302.64 : 406,109.52 = 165,211.52 : x
  2. Step 2: Convert to fraction form
    294,302.64/406,109.52 = 165,211.52/x
  3. Step 3: Cross multiply
    294,302.64x = 406,109.52 × 165,211.52
  4. Step 4: Simplify right side
    294,302.64x = 67,093,971,085.67
  5. Step 5: Solve for x
    x = 67,093,971,085.67/294,302.64
  6. Step 6: Final answer
    x = 227,976.11

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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.