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Finding the Fourth Proportional to 476,473.32, 714,797.46 and 156,643.20

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Solution

The fourth proportional to 476,473.32, 714,797.46 and 156,643.20 is: 234,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,473.32 : 714,797.46 = 156,643.20 : x
  2. Step 2: Convert to fraction form
    476,473.32/714,797.46 = 156,643.20/x
  3. Step 3: Cross multiply
    476,473.32x = 714,797.46 × 156,643.20
  4. Step 4: Simplify right side
    476,473.32x = 111,968,161,486.27
  5. Step 5: Solve for x
    x = 111,968,161,486.27/476,473.32
  6. Step 6: Final answer
    x = 234,993.56

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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.