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Finding the Fourth Proportional to 501,044.70, 751,567.05 and 146,094.60

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Solution

The fourth proportional to 501,044.70, 751,567.05 and 146,094.60 is: 219,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,044.70 : 751,567.05 = 146,094.60 : x
  2. Step 2: Convert to fraction form
    501,044.70/751,567.05 = 146,094.60/x
  3. Step 3: Cross multiply
    501,044.70x = 751,567.05 × 146,094.60
  4. Step 4: Simplify right side
    501,044.70x = 109,799,887,542.93
  5. Step 5: Solve for x
    x = 109,799,887,542.93/501,044.70
  6. Step 6: Final answer
    x = 219,141.90

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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.