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Finding the Fourth Proportional to 294,867.12, 406,916.64 and 160,731.12

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Solution

The fourth proportional to 294,867.12, 406,916.64 and 160,731.12 is: 221,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,867.12 : 406,916.64 = 160,731.12 : x
  2. Step 2: Convert to fraction form
    294,867.12/406,916.64 = 160,731.12/x
  3. Step 3: Cross multiply
    294,867.12x = 406,916.64 × 160,731.12
  4. Step 4: Simplify right side
    294,867.12x = 65,404,167,293.84
  5. Step 5: Solve for x
    x = 65,404,167,293.84/294,867.12
  6. Step 6: Final answer
    x = 221,808.95

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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.