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Finding the Fourth Proportional to 297,411.40, 446,117.10 and 171,440.20

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Solution

The fourth proportional to 297,411.40, 446,117.10 and 171,440.20 is: 257,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,411.40 : 446,117.10 = 171,440.20 : x
  2. Step 2: Convert to fraction form
    297,411.40/446,117.10 = 171,440.20/x
  3. Step 3: Cross multiply
    297,411.40x = 446,117.10 × 171,440.20
  4. Step 4: Simplify right side
    297,411.40x = 76,482,404,847.42
  5. Step 5: Solve for x
    x = 76,482,404,847.42/297,411.40
  6. Step 6: Final answer
    x = 257,160.30

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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.