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Finding the Fourth Proportional to 577,309.08, 865,882.20 and 198,223.81

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Solution

The fourth proportional to 577,309.08, 865,882.20 and 198,223.81 is: 297,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,309.08 : 865,882.20 = 198,223.81 : x
  2. Step 2: Convert to fraction form
    577,309.08/865,882.20 = 198,223.81/x
  3. Step 3: Cross multiply
    577,309.08x = 865,882.20 × 198,223.81
  4. Step 4: Simplify right side
    577,309.08x = 171,638,468,695.18
  5. Step 5: Solve for x
    x = 171,638,468,695.18/577,309.08
  6. Step 6: Final answer
    x = 297,307.76

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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.