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Finding the Fourth Proportional to 380,223.08, 524,701.50 and 210,453.56

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Solution

The fourth proportional to 380,223.08, 524,701.50 and 210,453.56 is: 290,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,223.08 : 524,701.50 = 210,453.56 : x
  2. Step 2: Convert to fraction form
    380,223.08/524,701.50 = 210,453.56/x
  3. Step 3: Cross multiply
    380,223.08x = 524,701.50 × 210,453.56
  4. Step 4: Simplify right side
    380,223.08x = 110,425,298,612.34
  5. Step 5: Solve for x
    x = 110,425,298,612.34/380,223.08
  6. Step 6: Final answer
    x = 290,422.40

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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.