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Finding the Fourth Proportional to 252,102.40, 378,716.80 and 210,630.40

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Solution

The fourth proportional to 252,102.40, 378,716.80 and 210,630.40 is: 316,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102.40 : 378,716.80 = 210,630.40 : x
  2. Step 2: Convert to fraction form
    252,102.40/378,716.80 = 210,630.40/x
  3. Step 3: Cross multiply
    252,102.40x = 378,716.80 × 210,630.40
  4. Step 4: Simplify right side
    252,102.40x = 79,769,271,070.72
  5. Step 5: Solve for x
    x = 79,769,271,070.72/252,102.40
  6. Step 6: Final answer
    x = 316,416.15

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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.