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Finding the Fourth Proportional to 563,146.60, 844,728.54 and 189,172.84

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Solution

The fourth proportional to 563,146.60, 844,728.54 and 189,172.84 is: 283,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,146.60 : 844,728.54 = 189,172.84 : x
  2. Step 2: Convert to fraction form
    563,146.60/844,728.54 = 189,172.84/x
  3. Step 3: Cross multiply
    563,146.60x = 844,728.54 × 189,172.84
  4. Step 4: Simplify right side
    563,146.60x = 159,799,696,940.85
  5. Step 5: Solve for x
    x = 159,799,696,940.85/563,146.60
  6. Step 6: Final answer
    x = 283,762.16

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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.