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Finding the Fourth Proportional to 369,806.48, 510,295.32 and 214,704.08

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Solution

The fourth proportional to 369,806.48, 510,295.32 and 214,704.08 is: 296,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,806.48 : 510,295.32 = 214,704.08 : x
  2. Step 2: Convert to fraction form
    369,806.48/510,295.32 = 214,704.08/x
  3. Step 3: Cross multiply
    369,806.48x = 510,295.32 × 214,704.08
  4. Step 4: Simplify right side
    369,806.48x = 109,562,487,208.91
  5. Step 5: Solve for x
    x = 109,562,487,208.91/369,806.48
  6. Step 6: Final answer
    x = 296,269.79

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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.