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Finding the Fourth Proportional to 314,395.02, 471,662.15 and 114,714.86

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Solution

The fourth proportional to 314,395.02, 471,662.15 and 114,714.86 is: 172,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,395.02 : 471,662.15 = 114,714.86 : x
  2. Step 2: Convert to fraction form
    314,395.02/471,662.15 = 114,714.86/x
  3. Step 3: Cross multiply
    314,395.02x = 471,662.15 × 114,714.86
  4. Step 4: Simplify right side
    314,395.02x = 54,106,654,572.66
  5. Step 5: Solve for x
    x = 54,106,654,572.66/314,395.02
  6. Step 6: Final answer
    x = 172,097.68

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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.