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Finding the Fourth Proportional to 410,216.61, 566,112.47 and 238,120.77

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Solution

The fourth proportional to 410,216.61, 566,112.47 and 238,120.77 is: 328,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216.61 : 566,112.47 = 238,120.77 : x
  2. Step 2: Convert to fraction form
    410,216.61/566,112.47 = 238,120.77/x
  3. Step 3: Cross multiply
    410,216.61x = 566,112.47 × 238,120.77
  4. Step 4: Simplify right side
    410,216.61x = 134,803,136,072.40
  5. Step 5: Solve for x
    x = 134,803,136,072.40/410,216.61
  6. Step 6: Final answer
    x = 328,614.52

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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.