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Finding the Fourth Proportional to 577,175.76, 865,682.54 and 198,090.29

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Solution

The fourth proportional to 577,175.76, 865,682.54 and 198,090.29 is: 297,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,175.76 : 865,682.54 = 198,090.29 : x
  2. Step 2: Convert to fraction form
    577,175.76/865,682.54 = 198,090.29/x
  3. Step 3: Cross multiply
    577,175.76x = 865,682.54 × 198,090.29
  4. Step 4: Simplify right side
    577,175.76x = 171,483,307,313.13
  5. Step 5: Solve for x
    x = 171,483,307,313.13/577,175.76
  6. Step 6: Final answer
    x = 297,107.60

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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.