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Finding the Fourth Proportional to 532,610.86, 734,991.60 and 290,894.38

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Solution

The fourth proportional to 532,610.86, 734,991.60 and 290,894.38 is: 401,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,610.86 : 734,991.60 = 290,894.38 : x
  2. Step 2: Convert to fraction form
    532,610.86/734,991.60 = 290,894.38/x
  3. Step 3: Cross multiply
    532,610.86x = 734,991.60 × 290,894.38
  4. Step 4: Simplify right side
    532,610.86x = 213,804,925,787.21
  5. Step 5: Solve for x
    x = 213,804,925,787.21/532,610.86
  6. Step 6: Final answer
    x = 401,428.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.