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Finding the Fourth Proportional to 505,706.52, 697,899.91 and 287,919.52

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Solution

The fourth proportional to 505,706.52, 697,899.91 and 287,919.52 is: 397,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,706.52 : 697,899.91 = 287,919.52 : x
  2. Step 2: Convert to fraction form
    505,706.52/697,899.91 = 287,919.52/x
  3. Step 3: Cross multiply
    505,706.52x = 697,899.91 × 287,919.52
  4. Step 4: Simplify right side
    505,706.52x = 200,939,007,095.24
  5. Step 5: Solve for x
    x = 200,939,007,095.24/505,706.52
  6. Step 6: Final answer
    x = 397,343.12

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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.