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Finding the Fourth Proportional to 382,254.88, 573,384.16 and 116,017.71

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Solution

The fourth proportional to 382,254.88, 573,384.16 and 116,017.71 is: 174,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254.88 : 573,384.16 = 116,017.71 : x
  2. Step 2: Convert to fraction form
    382,254.88/573,384.16 = 116,017.71/x
  3. Step 3: Cross multiply
    382,254.88x = 573,384.16 × 116,017.71
  4. Step 4: Simplify right side
    382,254.88x = 66,522,717,193.47
  5. Step 5: Solve for x
    x = 66,522,717,193.47/382,254.88
  6. Step 6: Final answer
    x = 174,027.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.