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Finding the Fourth Proportional to 294,564.14, 406,498.50 and 160,428.14

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Solution

The fourth proportional to 294,564.14, 406,498.50 and 160,428.14 is: 221,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564.14 : 406,498.50 = 160,428.14 : x
  2. Step 2: Convert to fraction form
    294,564.14/406,498.50 = 160,428.14/x
  3. Step 3: Cross multiply
    294,564.14x = 406,498.50 × 160,428.14
  4. Step 4: Simplify right side
    294,564.14x = 65,213,798,267.79
  5. Step 5: Solve for x
    x = 65,213,798,267.79/294,564.14
  6. Step 6: Final answer
    x = 221,390.83

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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.