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Finding the Fourth Proportional to 294,452.64, 406,312.32 and 165,364.92

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Solution

The fourth proportional to 294,452.64, 406,312.32 and 165,364.92 is: 228,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,452.64 : 406,312.32 = 165,364.92 : x
  2. Step 2: Convert to fraction form
    294,452.64/406,312.32 = 165,364.92/x
  3. Step 3: Cross multiply
    294,452.64x = 406,312.32 × 165,364.92
  4. Step 4: Simplify right side
    294,452.64x = 67,189,804,291.81
  5. Step 5: Solve for x
    x = 67,189,804,291.81/294,452.64
  6. Step 6: Final answer
    x = 228,185.44

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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.