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Finding the Fourth Proportional to 515,186.64, 772,630.20 and 199,573.20

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Solution

The fourth proportional to 515,186.64, 772,630.20 and 199,573.20 is: 299,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,186.64 : 772,630.20 = 199,573.20 : x
  2. Step 2: Convert to fraction form
    515,186.64/772,630.20 = 199,573.20/x
  3. Step 3: Cross multiply
    515,186.64x = 772,630.20 × 199,573.20
  4. Step 4: Simplify right side
    515,186.64x = 154,196,281,430.64
  5. Step 5: Solve for x
    x = 154,196,281,430.64/515,186.64
  6. Step 6: Final answer
    x = 299,301.79

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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.