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Finding the Fourth Proportional to 296,403, 409,036.16 and 162,267

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Solution

The fourth proportional to 296,403, 409,036.16 and 162,267 is: 223,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,403 : 409,036.16 = 162,267 : x
  2. Step 2: Convert to fraction form
    296,403/409,036.16 = 162,267/x
  3. Step 3: Cross multiply
    296,403x = 409,036.16 × 162,267
  4. Step 4: Simplify right side
    296,403x = 66,373,070,574.72
  5. Step 5: Solve for x
    x = 66,373,070,574.72/296,403
  6. Step 6: Final answer
    x = 223,928.47

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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.