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Finding the Fourth Proportional to 535,289.25, 738,699.17 and 296,825.25

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Solution

The fourth proportional to 535,289.25, 738,699.17 and 296,825.25 is: 409,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,289.25 : 738,699.17 = 296,825.25 : x
  2. Step 2: Convert to fraction form
    535,289.25/738,699.17 = 296,825.25/x
  3. Step 3: Cross multiply
    535,289.25x = 738,699.17 × 296,825.25
  4. Step 4: Simplify right side
    535,289.25x = 219,264,564,325.92
  5. Step 5: Solve for x
    x = 219,264,564,325.92/535,289.25
  6. Step 6: Final answer
    x = 409,618.85

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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.