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Finding the Fourth Proportional to 647,106.88, 892,744.45 and 429,418.21

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Solution

The fourth proportional to 647,106.88, 892,744.45 and 429,418.21 is: 592,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,106.88 : 892,744.45 = 429,418.21 : x
  2. Step 2: Convert to fraction form
    647,106.88/892,744.45 = 429,418.21/x
  3. Step 3: Cross multiply
    647,106.88x = 892,744.45 × 429,418.21
  4. Step 4: Simplify right side
    647,106.88x = 383,360,723,706.44
  5. Step 5: Solve for x
    x = 383,360,723,706.44/647,106.88
  6. Step 6: Final answer
    x = 592,422.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.