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Finding the Fourth Proportional to 501,311.64, 751,780.35 and 201,691.02

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Solution

The fourth proportional to 501,311.64, 751,780.35 and 201,691.02 is: 302,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,311.64 : 751,780.35 = 201,691.02 : x
  2. Step 2: Convert to fraction form
    501,311.64/751,780.35 = 201,691.02/x
  3. Step 3: Cross multiply
    501,311.64x = 751,780.35 × 201,691.02
  4. Step 4: Simplify right side
    501,311.64x = 151,627,345,607.46
  5. Step 5: Solve for x
    x = 151,627,345,607.46/501,311.64
  6. Step 6: Final answer
    x = 302,461.25

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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.