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Finding the Fourth Proportional to 410,336.74, 566,262.54 and 238,297.01

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Solution

The fourth proportional to 410,336.74, 566,262.54 and 238,297.01 is: 328,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,336.74 : 566,262.54 = 238,297.01 : x
  2. Step 2: Convert to fraction form
    410,336.74/566,262.54 = 238,297.01/x
  3. Step 3: Cross multiply
    410,336.74x = 566,262.54 × 238,297.01
  4. Step 4: Simplify right side
    410,336.74x = 134,938,670,157.01
  5. Step 5: Solve for x
    x = 134,938,670,157.01/410,336.74
  6. Step 6: Final answer
    x = 328,848.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.