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Finding the Fourth Proportional to 296,394, 409,023.74 and 162,258

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Solution

The fourth proportional to 296,394, 409,023.74 and 162,258 is: 223,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,394 : 409,023.74 = 162,258 : x
  2. Step 2: Convert to fraction form
    296,394/409,023.74 = 162,258/x
  3. Step 3: Cross multiply
    296,394x = 409,023.74 × 162,258
  4. Step 4: Simplify right side
    296,394x = 66,367,374,004.92
  5. Step 5: Solve for x
    x = 66,367,374,004.92/296,394
  6. Step 6: Final answer
    x = 223,916.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.