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Finding the Fourth Proportional to 313,125.12, 469,097.16 and 242,659.98

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Solution

The fourth proportional to 313,125.12, 469,097.16 and 242,659.98 is: 363,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,125.12 : 469,097.16 = 242,659.98 : x
  2. Step 2: Convert to fraction form
    313,125.12/469,097.16 = 242,659.98/x
  3. Step 3: Cross multiply
    313,125.12x = 469,097.16 × 242,659.98
  4. Step 4: Simplify right side
    313,125.12x = 113,831,107,463.66
  5. Step 5: Solve for x
    x = 113,831,107,463.66/313,125.12
  6. Step 6: Final answer
    x = 363,532.34

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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.