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Finding the Fourth Proportional to 647,523.20, 971,284.80 and 174,256.40

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Solution

The fourth proportional to 647,523.20, 971,284.80 and 174,256.40 is: 261,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,523.20 : 971,284.80 = 174,256.40 : x
  2. Step 2: Convert to fraction form
    647,523.20/971,284.80 = 174,256.40/x
  3. Step 3: Cross multiply
    647,523.20x = 971,284.80 × 174,256.40
  4. Step 4: Simplify right side
    647,523.20x = 169,252,592,622.72
  5. Step 5: Solve for x
    x = 169,252,592,622.72/647,523.20
  6. Step 6: Final answer
    x = 261,384.60

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Similar ratio
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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.