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Finding the Fourth Proportional to 558,468.50, 770,728.66 and 340,657.66

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Solution

The fourth proportional to 558,468.50, 770,728.66 and 340,657.66 is: 470,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,468.50 : 770,728.66 = 340,657.66 : x
  2. Step 2: Convert to fraction form
    558,468.50/770,728.66 = 340,657.66/x
  3. Step 3: Cross multiply
    558,468.50x = 770,728.66 × 340,657.66
  4. Step 4: Simplify right side
    558,468.50x = 262,554,621,810.54
  5. Step 5: Solve for x
    x = 262,554,621,810.54/558,468.50
  6. Step 6: Final answer
    x = 470,133.27

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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.