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Finding the Fourth Proportional to 369,613.13, 510,083.93 and 208,464.54

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Solution

The fourth proportional to 369,613.13, 510,083.93 and 208,464.54 is: 287,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,613.13 : 510,083.93 = 208,464.54 : x
  2. Step 2: Convert to fraction form
    369,613.13/510,083.93 = 208,464.54/x
  3. Step 3: Cross multiply
    369,613.13x = 510,083.93 × 208,464.54
  4. Step 4: Simplify right side
    369,613.13x = 106,334,410,437.19
  5. Step 5: Solve for x
    x = 106,334,410,437.19/369,613.13
  6. Step 6: Final answer
    x = 287,691.11

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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.