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Finding the Fourth Proportional to 380,415.30, 524,988.93 and 210,649.42

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Solution

The fourth proportional to 380,415.30, 524,988.93 and 210,649.42 is: 290,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,415.30 : 524,988.93 = 210,649.42 : x
  2. Step 2: Convert to fraction form
    380,415.30/524,988.93 = 210,649.42/x
  3. Step 3: Cross multiply
    380,415.30x = 524,988.93 × 210,649.42
  4. Step 4: Simplify right side
    380,415.30x = 110,588,613,610.92
  5. Step 5: Solve for x
    x = 110,588,613,610.92/380,415.30
  6. Step 6: Final answer
    x = 290,704.96

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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.