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Finding the Fourth Proportional to 296,419.04, 409,058.28 and 162,283.04

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Solution

The fourth proportional to 296,419.04, 409,058.28 and 162,283.04 is: 223,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,419.04 : 409,058.28 = 162,283.04 : x
  2. Step 2: Convert to fraction form
    296,419.04/409,058.28 = 162,283.04/x
  3. Step 3: Cross multiply
    296,419.04x = 409,058.28 × 162,283.04
  4. Step 4: Simplify right side
    296,419.04x = 66,383,221,215.57
  5. Step 5: Solve for x
    x = 66,383,221,215.57/296,419.04
  6. Step 6: Final answer
    x = 223,950.60

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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.