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Finding the Fourth Proportional to 647,575.20, 971,362.80 and 512,272.80

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Solution

The fourth proportional to 647,575.20, 971,362.80 and 512,272.80 is: 768,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,575.20 : 971,362.80 = 512,272.80 : x
  2. Step 2: Convert to fraction form
    647,575.20/971,362.80 = 512,272.80/x
  3. Step 3: Cross multiply
    647,575.20x = 971,362.80 × 512,272.80
  4. Step 4: Simplify right side
    647,575.20x = 497,602,741,371.84
  5. Step 5: Solve for x
    x = 497,602,741,371.84/647,575.20
  6. Step 6: Final answer
    x = 768,409.20

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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.