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Finding the Fourth Proportional to 510,472.79, 765,792.20 and 173,543.57

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Solution

The fourth proportional to 510,472.79, 765,792.20 and 173,543.57 is: 260,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,472.79 : 765,792.20 = 173,543.57 : x
  2. Step 2: Convert to fraction form
    510,472.79/765,792.20 = 173,543.57/x
  3. Step 3: Cross multiply
    510,472.79x = 765,792.20 × 173,543.57
  4. Step 4: Simplify right side
    510,472.79x = 132,898,308,871.05
  5. Step 5: Solve for x
    x = 132,898,308,871.05/510,472.79
  6. Step 6: Final answer
    x = 260,343.57

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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.