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Finding the Fourth Proportional to 501,098.43, 751,567.64 and 146,029.40

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Solution

The fourth proportional to 501,098.43, 751,567.64 and 146,029.40 is: 219,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,098.43 : 751,567.64 = 146,029.40 : x
  2. Step 2: Convert to fraction form
    501,098.43/751,567.64 = 146,029.40/x
  3. Step 3: Cross multiply
    501,098.43x = 751,567.64 × 146,029.40
  4. Step 4: Simplify right side
    501,098.43x = 109,750,967,040.63
  5. Step 5: Solve for x
    x = 109,750,967,040.63/501,098.43
  6. Step 6: Final answer
    x = 219,020.78

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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.