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Finding the Fourth Proportional to 505,368.46, 697,469.64 and 287,630.08

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Solution

The fourth proportional to 505,368.46, 697,469.64 and 287,630.08 is: 396,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,368.46 : 697,469.64 = 287,630.08 : x
  2. Step 2: Convert to fraction form
    505,368.46/697,469.64 = 287,630.08/x
  3. Step 3: Cross multiply
    505,368.46x = 697,469.64 × 287,630.08
  4. Step 4: Simplify right side
    505,368.46x = 200,613,248,350.77
  5. Step 5: Solve for x
    x = 200,613,248,350.77/505,368.46
  6. Step 6: Final answer
    x = 396,964.32

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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.