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Finding the Fourth Proportional to 463,252.32, 694,980.48 and 263,666.64

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Solution

The fourth proportional to 463,252.32, 694,980.48 and 263,666.64 is: 395,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,252.32 : 694,980.48 = 263,666.64 : x
  2. Step 2: Convert to fraction form
    463,252.32/694,980.48 = 263,666.64/x
  3. Step 3: Cross multiply
    463,252.32x = 694,980.48 × 263,666.64
  4. Step 4: Simplify right side
    463,252.32x = 183,243,168,027.19
  5. Step 5: Solve for x
    x = 183,243,168,027.19/463,252.32
  6. Step 6: Final answer
    x = 395,558.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.