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Finding the Fourth Proportional to 297,113.28, 409,950 and 176,193.12

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Solution

The fourth proportional to 297,113.28, 409,950 and 176,193.12 is: 243,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,113.28 : 409,950 = 176,193.12 : x
  2. Step 2: Convert to fraction form
    297,113.28/409,950 = 176,193.12/x
  3. Step 3: Cross multiply
    297,113.28x = 409,950 × 176,193.12
  4. Step 4: Simplify right side
    297,113.28x = 72,230,369,544
  5. Step 5: Solve for x
    x = 72,230,369,544/297,113.28
  6. Step 6: Final answer
    x = 243,107.17

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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.