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Finding the Fourth Proportional to 369,612.38, 510,044.15 and 208,457.82

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Solution

The fourth proportional to 369,612.38, 510,044.15 and 208,457.82 is: 287,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,612.38 : 510,044.15 = 208,457.82 : x
  2. Step 2: Convert to fraction form
    369,612.38/510,044.15 = 208,457.82/x
  3. Step 3: Cross multiply
    369,612.38x = 510,044.15 × 208,457.82
  4. Step 4: Simplify right side
    369,612.38x = 106,322,692,133.90
  5. Step 5: Solve for x
    x = 106,322,692,133.90/369,612.38
  6. Step 6: Final answer
    x = 287,659.98

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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.