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Finding the Fourth Proportional to 577,830.80, 866,746.20 and 437,862.80

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Solution

The fourth proportional to 577,830.80, 866,746.20 and 437,862.80 is: 656,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,830.80 : 866,746.20 = 437,862.80 : x
  2. Step 2: Convert to fraction form
    577,830.80/866,746.20 = 437,862.80/x
  3. Step 3: Cross multiply
    577,830.80x = 866,746.20 × 437,862.80
  4. Step 4: Simplify right side
    577,830.80x = 379,515,918,021.36
  5. Step 5: Solve for x
    x = 379,515,918,021.36/577,830.80
  6. Step 6: Final answer
    x = 656,794.20

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Double scale
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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.