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Finding the Fourth Proportional to 601,881.68, 830,656.11 and 343,797.20

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Solution

The fourth proportional to 601,881.68, 830,656.11 and 343,797.20 is: 474,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,881.68 : 830,656.11 = 343,797.20 : x
  2. Step 2: Convert to fraction form
    601,881.68/830,656.11 = 343,797.20/x
  3. Step 3: Cross multiply
    601,881.68x = 830,656.11 × 343,797.20
  4. Step 4: Simplify right side
    601,881.68x = 285,577,240,627.61
  5. Step 5: Solve for x
    x = 285,577,240,627.61/601,881.68
  6. Step 6: Final answer
    x = 474,474.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.