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Finding the Fourth Proportional to 375,311.96, 517,801.89 and 214,051.04

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Solution

The fourth proportional to 375,311.96, 517,801.89 and 214,051.04 is: 295,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,311.96 : 517,801.89 = 214,051.04 : x
  2. Step 2: Convert to fraction form
    375,311.96/517,801.89 = 214,051.04/x
  3. Step 3: Cross multiply
    375,311.96x = 517,801.89 × 214,051.04
  4. Step 4: Simplify right side
    375,311.96x = 110,836,033,068.47
  5. Step 5: Solve for x
    x = 110,836,033,068.47/375,311.96
  6. Step 6: Final answer
    x = 295,317.08

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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.