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Finding the Fourth Proportional to 647,538.20, 971,307.30 and 395,595.80

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Solution

The fourth proportional to 647,538.20, 971,307.30 and 395,595.80 is: 593,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,538.20 : 971,307.30 = 395,595.80 : x
  2. Step 2: Convert to fraction form
    647,538.20/971,307.30 = 395,595.80/x
  3. Step 3: Cross multiply
    647,538.20x = 971,307.30 × 395,595.80
  4. Step 4: Simplify right side
    647,538.20x = 384,245,088,389.34
  5. Step 5: Solve for x
    x = 384,245,088,389.34/647,538.20
  6. Step 6: Final answer
    x = 593,393.70

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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.