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Finding the Fourth Proportional to 380,328.75, 524,857.32 and 210,566.52

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Solution

The fourth proportional to 380,328.75, 524,857.32 and 210,566.52 is: 290,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,328.75 : 524,857.32 = 210,566.52 : x
  2. Step 2: Convert to fraction form
    380,328.75/524,857.32 = 210,566.52/x
  3. Step 3: Cross multiply
    380,328.75x = 524,857.32 × 210,566.52
  4. Step 4: Simplify right side
    380,328.75x = 110,517,379,368.93
  5. Step 5: Solve for x
    x = 110,517,379,368.93/380,328.75
  6. Step 6: Final answer
    x = 290,583.82

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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.