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Finding the Fourth Proportional to 661,144.74, 912,754.40 and 505,803.77

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Solution

The fourth proportional to 661,144.74, 912,754.40 and 505,803.77 is: 698,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,144.74 : 912,754.40 = 505,803.77 : x
  2. Step 2: Convert to fraction form
    661,144.74/912,754.40 = 505,803.77/x
  3. Step 3: Cross multiply
    661,144.74x = 912,754.40 × 505,803.77
  4. Step 4: Simplify right side
    661,144.74x = 461,674,616,604.09
  5. Step 5: Solve for x
    x = 461,674,616,604.09/661,144.74
  6. Step 6: Final answer
    x = 698,295.83

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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.