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Finding the Fourth Proportional to 610,509.50, 842,503.11 and 338,619.04

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Solution

The fourth proportional to 610,509.50, 842,503.11 and 338,619.04 is: 467,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,509.50 : 842,503.11 = 338,619.04 : x
  2. Step 2: Convert to fraction form
    610,509.50/842,503.11 = 338,619.04/x
  3. Step 3: Cross multiply
    610,509.50x = 842,503.11 × 338,619.04
  4. Step 4: Simplify right side
    610,509.50x = 285,287,594,305.21
  5. Step 5: Solve for x
    x = 285,287,594,305.21/610,509.50
  6. Step 6: Final answer
    x = 467,294.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.