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Finding the Fourth Proportional to 517,971.93, 714,706.50 and 288,523.36

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Solution

The fourth proportional to 517,971.93, 714,706.50 and 288,523.36 is: 398,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,971.93 : 714,706.50 = 288,523.36 : x
  2. Step 2: Convert to fraction form
    517,971.93/714,706.50 = 288,523.36/x
  3. Step 3: Cross multiply
    517,971.93x = 714,706.50 × 288,523.36
  4. Step 4: Simplify right side
    517,971.93x = 206,209,520,793.84
  5. Step 5: Solve for x
    x = 206,209,520,793.84/517,971.93
  6. Step 6: Final answer
    x = 398,109.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.