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Finding the Fourth Proportional to 369,617.52, 510,071.48 and 208,472.08

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Solution

The fourth proportional to 369,617.52, 510,071.48 and 208,472.08 is: 287,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,617.52 : 510,071.48 = 208,472.08 : x
  2. Step 2: Convert to fraction form
    369,617.52/510,071.48 = 208,472.08/x
  3. Step 3: Cross multiply
    369,617.52x = 510,071.48 × 208,472.08
  4. Step 4: Simplify right side
    369,617.52x = 106,335,662,384.28
  5. Step 5: Solve for x
    x = 106,335,662,384.28/369,617.52
  6. Step 6: Final answer
    x = 287,691.08

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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.