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Finding the Fourth Proportional to 384,744.98, 577,146.47 and 114,851.81

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Solution

The fourth proportional to 384,744.98, 577,146.47 and 114,851.81 is: 172,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.98 : 577,146.47 = 114,851.81 : x
  2. Step 2: Convert to fraction form
    384,744.98/577,146.47 = 114,851.81/x
  3. Step 3: Cross multiply
    384,744.98x = 577,146.47 × 114,851.81
  4. Step 4: Simplify right side
    384,744.98x = 66,286,316,714.61
  5. Step 5: Solve for x
    x = 66,286,316,714.61/384,744.98
  6. Step 6: Final answer
    x = 172,286.37

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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.