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Finding the Fourth Proportional to 296,398.04, 409,029.30 and 162,262.04

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Solution

The fourth proportional to 296,398.04, 409,029.30 and 162,262.04 is: 223,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,398.04 : 409,029.30 = 162,262.04 : x
  2. Step 2: Convert to fraction form
    296,398.04/409,029.30 = 162,262.04/x
  3. Step 3: Cross multiply
    296,398.04x = 409,029.30 × 162,262.04
  4. Step 4: Simplify right side
    296,398.04x = 66,369,928,637.77
  5. Step 5: Solve for x
    x = 66,369,928,637.77/296,398.04
  6. Step 6: Final answer
    x = 223,921.62

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1.5x scale

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.