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Finding the Fourth Proportional to 501,048.20, 751,572.30 and 465,618.80

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Solution

The fourth proportional to 501,048.20, 751,572.30 and 465,618.80 is: 698,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,048.20 : 751,572.30 = 465,618.80 : x
  2. Step 2: Convert to fraction form
    501,048.20/751,572.30 = 465,618.80/x
  3. Step 3: Cross multiply
    501,048.20x = 751,572.30 × 465,618.80
  4. Step 4: Simplify right side
    501,048.20x = 349,946,192,439.24
  5. Step 5: Solve for x
    x = 349,946,192,439.24/501,048.20
  6. Step 6: Final answer
    x = 698,428.20

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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.