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Finding the Fourth Proportional to 296,709.10, 409,458.04 and 160,746.48

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Solution

The fourth proportional to 296,709.10, 409,458.04 and 160,746.48 is: 221,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,709.10 : 409,458.04 = 160,746.48 : x
  2. Step 2: Convert to fraction form
    296,709.10/409,458.04 = 160,746.48/x
  3. Step 3: Cross multiply
    296,709.10x = 409,458.04 × 160,746.48
  4. Step 4: Simplify right side
    296,709.10x = 65,818,938,235.83
  5. Step 5: Solve for x
    x = 65,818,938,235.83/296,709.10
  6. Step 6: Final answer
    x = 221,829.86

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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.