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Finding the Fourth Proportional to 588,549, 812,200.86 and 320,277

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Solution

The fourth proportional to 588,549, 812,200.86 and 320,277 is: 441,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,549 : 812,200.86 = 320,277 : x
  2. Step 2: Convert to fraction form
    588,549/812,200.86 = 320,277/x
  3. Step 3: Cross multiply
    588,549x = 812,200.86 × 320,277
  4. Step 4: Simplify right side
    588,549x = 260,129,254,838.22
  5. Step 5: Solve for x
    x = 260,129,254,838.22/588,549
  6. Step 6: Final answer
    x = 441,984.02

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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.