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Finding the Fourth Proportional to 505,816.08, 697,916.16 and 301,773.84

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Solution

The fourth proportional to 505,816.08, 697,916.16 and 301,773.84 is: 416,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,816.08 : 697,916.16 = 301,773.84 : x
  2. Step 2: Convert to fraction form
    505,816.08/697,916.16 = 301,773.84/x
  3. Step 3: Cross multiply
    505,816.08x = 697,916.16 × 301,773.84
  4. Step 4: Simplify right side
    505,816.08x = 210,612,839,601.25
  5. Step 5: Solve for x
    x = 210,612,839,601.25/505,816.08
  6. Step 6: Final answer
    x = 416,382.25

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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.