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Finding the Fourth Proportional to 380,362.50, 524,916.65 and 210,596.63

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Solution

The fourth proportional to 380,362.50, 524,916.65 and 210,596.63 is: 290,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,362.50 : 524,916.65 = 210,596.63 : x
  2. Step 2: Convert to fraction form
    380,362.50/524,916.65 = 210,596.63/x
  3. Step 3: Cross multiply
    380,362.50x = 524,916.65 × 210,596.63
  4. Step 4: Simplify right side
    380,362.50x = 110,545,675,422.80
  5. Step 5: Solve for x
    x = 110,545,675,422.80/380,362.50
  6. Step 6: Final answer
    x = 290,632.42

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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.