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Finding the Fourth Proportional to 369,577.22, 510,033.92 and 208,428.93

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Solution

The fourth proportional to 369,577.22, 510,033.92 and 208,428.93 is: 287,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,577.22 : 510,033.92 = 208,428.93 : x
  2. Step 2: Convert to fraction form
    369,577.22/510,033.92 = 208,428.93/x
  3. Step 3: Cross multiply
    369,577.22x = 510,033.92 × 208,428.93
  4. Step 4: Simplify right side
    369,577.22x = 106,305,823,167.16
  5. Step 5: Solve for x
    x = 106,305,823,167.16/369,577.22
  6. Step 6: Final answer
    x = 287,641.71

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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.