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Finding the Fourth Proportional to 647,493.20, 971,239.80 and 608,094.80

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Solution

The fourth proportional to 647,493.20, 971,239.80 and 608,094.80 is: 912,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,493.20 : 971,239.80 = 608,094.80 : x
  2. Step 2: Convert to fraction form
    647,493.20/971,239.80 = 608,094.80/x
  3. Step 3: Cross multiply
    647,493.20x = 971,239.80 × 608,094.80
  4. Step 4: Simplify right side
    647,493.20x = 590,605,871,933.04
  5. Step 5: Solve for x
    x = 590,605,871,933.04/647,493.20
  6. Step 6: Final answer
    x = 912,142.20

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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.