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Finding the Fourth Proportional to 505,616.77, 697,569.84 and 298,841.80

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Solution

The fourth proportional to 505,616.77, 697,569.84 and 298,841.80 is: 412,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,616.77 : 697,569.84 = 298,841.80 : x
  2. Step 2: Convert to fraction form
    505,616.77/697,569.84 = 298,841.80/x
  3. Step 3: Cross multiply
    505,616.77x = 697,569.84 × 298,841.80
  4. Step 4: Simplify right side
    505,616.77x = 208,463,021,629.25
  5. Step 5: Solve for x
    x = 208,463,021,629.25/505,616.77
  6. Step 6: Final answer
    x = 412,294.52

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1.5x scale

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.