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Finding the Fourth Proportional to 552,804.46, 829,406.20 and 193,028.34

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Solution

The fourth proportional to 552,804.46, 829,406.20 and 193,028.34 is: 289,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,804.46 : 829,406.20 = 193,028.34 : x
  2. Step 2: Convert to fraction form
    552,804.46/829,406.20 = 193,028.34/x
  3. Step 3: Cross multiply
    552,804.46x = 829,406.20 × 193,028.34
  4. Step 4: Simplify right side
    552,804.46x = 160,098,901,971.71
  5. Step 5: Solve for x
    x = 160,098,901,971.71/552,804.46
  6. Step 6: Final answer
    x = 289,612.17

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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.