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Finding the Fourth Proportional to 476,630, 714,944.42 and 121,644.06

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Solution

The fourth proportional to 476,630, 714,944.42 and 121,644.06 is: 182,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,630 : 714,944.42 = 121,644.06 : x
  2. Step 2: Convert to fraction form
    476,630/714,944.42 = 121,644.06/x
  3. Step 3: Cross multiply
    476,630x = 714,944.42 × 121,644.06
  4. Step 4: Simplify right side
    476,630x = 86,968,741,923.15
  5. Step 5: Solve for x
    x = 86,968,741,923.15/476,630
  6. Step 6: Final answer
    x = 182,465.94

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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.