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Finding the Fourth Proportional to 522,862.83, 784,220.13 and 167,830.11

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Solution

The fourth proportional to 522,862.83, 784,220.13 and 167,830.11 is: 251,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,862.83 : 784,220.13 = 167,830.11 : x
  2. Step 2: Convert to fraction form
    522,862.83/784,220.13 = 167,830.11/x
  3. Step 3: Cross multiply
    522,862.83x = 784,220.13 × 167,830.11
  4. Step 4: Simplify right side
    522,862.83x = 131,615,750,682.11
  5. Step 5: Solve for x
    x = 131,615,750,682.11/522,862.83
  6. Step 6: Final answer
    x = 251,721.38

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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.