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Finding the Fourth Proportional to 972,092, 1,458,214.32 and 262,109.36

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Solution

The fourth proportional to 972,092, 1,458,214.32 and 262,109.36 is: 393,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,092 : 1,458,214.32 = 262,109.36 : x
  2. Step 2: Convert to fraction form
    972,092/1,458,214.32 = 262,109.36/x
  3. Step 3: Cross multiply
    972,092x = 1,458,214.32 × 262,109.36
  4. Step 4: Simplify right side
    972,092x = 382,211,622,158.04
  5. Step 5: Solve for x
    x = 382,211,622,158.04/972,092
  6. Step 6: Final answer
    x = 393,184.62

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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.