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Finding the Fourth Proportional to 380,420.42, 524,973.69 and 210,650.90

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Solution

The fourth proportional to 380,420.42, 524,973.69 and 210,650.90 is: 290,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,420.42 : 524,973.69 = 210,650.90 : x
  2. Step 2: Convert to fraction form
    380,420.42/524,973.69 = 210,650.90/x
  3. Step 3: Cross multiply
    380,420.42x = 524,973.69 × 210,650.90
  4. Step 4: Simplify right side
    380,420.42x = 110,586,177,649.95
  5. Step 5: Solve for x
    x = 110,586,177,649.95/380,420.42
  6. Step 6: Final answer
    x = 290,694.65

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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.