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Finding the Fourth Proportional to 577,174.16, 865,767 and 203,200.40

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Solution

The fourth proportional to 577,174.16, 865,767 and 203,200.40 is: 304,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,174.16 : 865,767 = 203,200.40 : x
  2. Step 2: Convert to fraction form
    577,174.16/865,767 = 203,200.40/x
  3. Step 3: Cross multiply
    577,174.16x = 865,767 × 203,200.40
  4. Step 4: Simplify right side
    577,174.16x = 175,924,200,706.80
  5. Step 5: Solve for x
    x = 175,924,200,706.80/577,174.16
  6. Step 6: Final answer
    x = 304,802.63

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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.