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Finding the Fourth Proportional to 647,710.70, 971,566.05 and 512,408.30

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Solution

The fourth proportional to 647,710.70, 971,566.05 and 512,408.30 is: 768,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,710.70 : 971,566.05 = 512,408.30 : x
  2. Step 2: Convert to fraction form
    647,710.70/971,566.05 = 512,408.30/x
  3. Step 3: Cross multiply
    647,710.70x = 971,566.05 × 512,408.30
  4. Step 4: Simplify right side
    647,710.70x = 497,838,508,018.22
  5. Step 5: Solve for x
    x = 497,838,508,018.22/647,710.70
  6. Step 6: Final answer
    x = 768,612.45

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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.