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Finding the Fourth Proportional to 380,415.57, 524,973.45 and 210,649.69

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Solution

The fourth proportional to 380,415.57, 524,973.45 and 210,649.69 is: 290,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,415.57 : 524,973.45 = 210,649.69 : x
  2. Step 2: Convert to fraction form
    380,415.57/524,973.45 = 210,649.69/x
  3. Step 3: Cross multiply
    380,415.57x = 524,973.45 × 210,649.69
  4. Step 4: Simplify right side
    380,415.57x = 110,585,494,500.73
  5. Step 5: Solve for x
    x = 110,585,494,500.73/380,415.57
  6. Step 6: Final answer
    x = 290,696.55

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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.