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Finding the Fourth Proportional to 535,121.48, 738,500.82 and 296,657.48

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Solution

The fourth proportional to 535,121.48, 738,500.82 and 296,657.48 is: 409,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,121.48 : 738,500.82 = 296,657.48 : x
  2. Step 2: Convert to fraction form
    535,121.48/738,500.82 = 296,657.48/x
  3. Step 3: Cross multiply
    535,121.48x = 738,500.82 × 296,657.48
  4. Step 4: Simplify right side
    535,121.48x = 219,081,792,239.13
  5. Step 5: Solve for x
    x = 219,081,792,239.13/535,121.48
  6. Step 6: Final answer
    x = 409,405.72

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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.