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Finding the Fourth Proportional to 647,564.80, 971,347.20 and 584,579.20

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Solution

The fourth proportional to 647,564.80, 971,347.20 and 584,579.20 is: 876,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,564.80 : 971,347.20 = 584,579.20 : x
  2. Step 2: Convert to fraction form
    647,564.80/971,347.20 = 584,579.20/x
  3. Step 3: Cross multiply
    647,564.80x = 971,347.20 × 584,579.20
  4. Step 4: Simplify right side
    647,564.80x = 567,829,369,098.24
  5. Step 5: Solve for x
    x = 567,829,369,098.24/647,564.80
  6. Step 6: Final answer
    x = 876,868.80

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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.