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Finding the Fourth Proportional to 296,473.28, 409,172.64 and 175,604.80

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Solution

The fourth proportional to 296,473.28, 409,172.64 and 175,604.80 is: 242,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,473.28 : 409,172.64 = 175,604.80 : x
  2. Step 2: Convert to fraction form
    296,473.28/409,172.64 = 175,604.80/x
  3. Step 3: Cross multiply
    296,473.28x = 409,172.64 × 175,604.80
  4. Step 4: Simplify right side
    296,473.28x = 71,852,679,612.67
  5. Step 5: Solve for x
    x = 71,852,679,612.67/296,473.28
  6. Step 6: Final answer
    x = 242,358.03

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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.