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Finding the Fourth Proportional to 369,796.48, 510,281.76 and 214,694.08

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Solution

The fourth proportional to 369,796.48, 510,281.76 and 214,694.08 is: 296,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,796.48 : 510,281.76 = 214,694.08 : x
  2. Step 2: Convert to fraction form
    369,796.48/510,281.76 = 214,694.08/x
  3. Step 3: Cross multiply
    369,796.48x = 510,281.76 × 214,694.08
  4. Step 4: Simplify right side
    369,796.48x = 109,554,473,003.98
  5. Step 5: Solve for x
    x = 109,554,473,003.98/369,796.48
  6. Step 6: Final answer
    x = 296,256.13

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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.