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Finding the Fourth Proportional to 294,746.34, 406,749.95 and 160,610.34

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Solution

The fourth proportional to 294,746.34, 406,749.95 and 160,610.34 is: 221,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,746.34 : 406,749.95 = 160,610.34 : x
  2. Step 2: Convert to fraction form
    294,746.34/406,749.95 = 160,610.34/x
  3. Step 3: Cross multiply
    294,746.34x = 406,749.95 × 160,610.34
  4. Step 4: Simplify right side
    294,746.34x = 65,328,249,992.47
  5. Step 5: Solve for x
    x = 65,328,249,992.47/294,746.34
  6. Step 6: Final answer
    x = 221,642.27

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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.