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Finding the Fourth Proportional to 577,316.84, 865,753.80 and 198,166.92

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Solution

The fourth proportional to 577,316.84, 865,753.80 and 198,166.92 is: 297,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,316.84 : 865,753.80 = 198,166.92 : x
  2. Step 2: Convert to fraction form
    577,316.84/865,753.80 = 198,166.92/x
  3. Step 3: Cross multiply
    577,316.84x = 865,753.80 × 198,166.92
  4. Step 4: Simplify right side
    577,316.84x = 171,563,764,024.30
  5. Step 5: Solve for x
    x = 171,563,764,024.30/577,316.84
  6. Step 6: Final answer
    x = 297,174.36

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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.