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Finding the Fourth Proportional to 501,214.96, 751,855.29 and 146,199.25

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Solution

The fourth proportional to 501,214.96, 751,855.29 and 146,199.25 is: 219,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,214.96 : 751,855.29 = 146,199.25 : x
  2. Step 2: Convert to fraction form
    501,214.96/751,855.29 = 146,199.25/x
  3. Step 3: Cross multiply
    501,214.96x = 751,855.29 × 146,199.25
  4. Step 4: Simplify right side
    501,214.96x = 109,920,679,506.53
  5. Step 5: Solve for x
    x = 109,920,679,506.53/501,214.96
  6. Step 6: Final answer
    x = 219,308.46

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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.