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Finding the Fourth Proportional to 608,894.82, 913,429.71 and 188,203.50

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Solution

The fourth proportional to 608,894.82, 913,429.71 and 188,203.50 is: 282,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,894.82 : 913,429.71 = 188,203.50 : x
  2. Step 2: Convert to fraction form
    608,894.82/913,429.71 = 188,203.50/x
  3. Step 3: Cross multiply
    608,894.82x = 913,429.71 × 188,203.50
  4. Step 4: Simplify right side
    608,894.82x = 171,910,668,425.99
  5. Step 5: Solve for x
    x = 171,910,668,425.99/608,894.82
  6. Step 6: Final answer
    x = 282,332.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.