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Finding the Fourth Proportional to 468,526.14, 702,920.52 and 188,240.22

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Solution

The fourth proportional to 468,526.14, 702,920.52 and 188,240.22 is: 282,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,526.14 : 702,920.52 = 188,240.22 : x
  2. Step 2: Convert to fraction form
    468,526.14/702,920.52 = 188,240.22/x
  3. Step 3: Cross multiply
    468,526.14x = 702,920.52 × 188,240.22
  4. Step 4: Simplify right side
    468,526.14x = 132,317,913,327.31
  5. Step 5: Solve for x
    x = 132,317,913,327.31/468,526.14
  6. Step 6: Final answer
    x = 282,413.09

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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.