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Finding the Fourth Proportional to 436,477.64, 654,643.56 and 120,966.44

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Solution

The fourth proportional to 436,477.64, 654,643.56 and 120,966.44 is: 181,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,477.64 : 654,643.56 = 120,966.44 : x
  2. Step 2: Convert to fraction form
    436,477.64/654,643.56 = 120,966.44/x
  3. Step 3: Cross multiply
    436,477.64x = 654,643.56 × 120,966.44
  4. Step 4: Simplify right side
    436,477.64x = 79,189,900,922.13
  5. Step 5: Solve for x
    x = 79,189,900,922.13/436,477.64
  6. Step 6: Final answer
    x = 181,429.46

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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.