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Finding the Fourth Proportional to 563,820.57, 845,716.56 and 164,464.80

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Solution

The fourth proportional to 563,820.57, 845,716.56 and 164,464.80 is: 246,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,820.57 : 845,716.56 = 164,464.80 : x
  2. Step 2: Convert to fraction form
    563,820.57/845,716.56 = 164,464.80/x
  3. Step 3: Cross multiply
    563,820.57x = 845,716.56 × 164,464.80
  4. Step 4: Simplify right side
    563,820.57x = 139,090,604,897.09
  5. Step 5: Solve for x
    x = 139,090,604,897.09/563,820.57
  6. Step 6: Final answer
    x = 246,693.03

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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.