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Finding the Fourth Proportional to 234,461.39, 323,319.60 and 208,538.08

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Solution

The fourth proportional to 234,461.39, 323,319.60 and 208,538.08 is: 287,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,461.39 : 323,319.60 = 208,538.08 : x
  2. Step 2: Convert to fraction form
    234,461.39/323,319.60 = 208,538.08/x
  3. Step 3: Cross multiply
    234,461.39x = 323,319.60 × 208,538.08
  4. Step 4: Simplify right side
    234,461.39x = 67,424,447,802.07
  5. Step 5: Solve for x
    x = 67,424,447,802.07/234,461.39
  6. Step 6: Final answer
    x = 287,571.65

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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.