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Finding the Fourth Proportional to 297,706.84, 446,574.78 and 120,191.68

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Solution

The fourth proportional to 297,706.84, 446,574.78 and 120,191.68 is: 180,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,706.84 : 446,574.78 = 120,191.68 : x
  2. Step 2: Convert to fraction form
    297,706.84/446,574.78 = 120,191.68/x
  3. Step 3: Cross multiply
    297,706.84x = 446,574.78 × 120,191.68
  4. Step 4: Simplify right side
    297,706.84x = 53,674,573,053.83
  5. Step 5: Solve for x
    x = 53,674,573,053.83/297,706.84
  6. Step 6: Final answer
    x = 180,293.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.