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Finding the Fourth Proportional to 463,695.24, 695,072.32 and 263,602.20

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Solution

The fourth proportional to 463,695.24, 695,072.32 and 263,602.20 is: 395,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,695.24 : 695,072.32 = 263,602.20 : x
  2. Step 2: Convert to fraction form
    463,695.24/695,072.32 = 263,602.20/x
  3. Step 3: Cross multiply
    463,695.24x = 695,072.32 × 263,602.20
  4. Step 4: Simplify right side
    463,695.24x = 183,222,592,711.10
  5. Step 5: Solve for x
    x = 183,222,592,711.10/463,695.24
  6. Step 6: Final answer
    x = 395,135.81

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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.