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Finding the Fourth Proportional to 463,447, 695,174.76 and 182,964.25

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Solution

The fourth proportional to 463,447, 695,174.76 and 182,964.25 is: 274,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,447 : 695,174.76 = 182,964.25 : x
  2. Step 2: Convert to fraction form
    463,447/695,174.76 = 182,964.25/x
  3. Step 3: Cross multiply
    463,447x = 695,174.76 × 182,964.25
  4. Step 4: Simplify right side
    463,447x = 127,192,128,582.33
  5. Step 5: Solve for x
    x = 127,192,128,582.33/463,447
  6. Step 6: Final answer
    x = 274,448.06

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1.5x scale

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.