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Finding the Fourth Proportional to 296,797.12, 409,506.56 and 175,966.72

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Solution

The fourth proportional to 296,797.12, 409,506.56 and 175,966.72 is: 242,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,797.12 : 409,506.56 = 175,966.72 : x
  2. Step 2: Convert to fraction form
    296,797.12/409,506.56 = 175,966.72/x
  3. Step 3: Cross multiply
    296,797.12x = 409,506.56 × 175,966.72
  4. Step 4: Simplify right side
    296,797.12x = 72,059,526,181.68
  5. Step 5: Solve for x
    x = 72,059,526,181.68/296,797.12
  6. Step 6: Final answer
    x = 242,790.52

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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.