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Finding the Fourth Proportional to 380,488.20, 525,073.50 and 210,722.16

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Solution

The fourth proportional to 380,488.20, 525,073.50 and 210,722.16 is: 290,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,488.20 : 525,073.50 = 210,722.16 : x
  2. Step 2: Convert to fraction form
    380,488.20/525,073.50 = 210,722.16/x
  3. Step 3: Cross multiply
    380,488.20x = 525,073.50 × 210,722.16
  4. Step 4: Simplify right side
    380,488.20x = 110,644,622,078.76
  5. Step 5: Solve for x
    x = 110,644,622,078.76/380,488.20
  6. Step 6: Final answer
    x = 290,796.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.