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Finding the Fourth Proportional to 501,047.10, 751,570.65 and 146,072.70

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Solution

The fourth proportional to 501,047.10, 751,570.65 and 146,072.70 is: 219,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,047.10 : 751,570.65 = 146,072.70 : x
  2. Step 2: Convert to fraction form
    501,047.10/751,570.65 = 146,072.70/x
  3. Step 3: Cross multiply
    501,047.10x = 751,570.65 × 146,072.70
  4. Step 4: Simplify right side
    501,047.10x = 109,783,954,086.26
  5. Step 5: Solve for x
    x = 109,783,954,086.26/501,047.10
  6. Step 6: Final answer
    x = 219,109.05

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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.