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Finding the Fourth Proportional to 313,133.16, 469,162.86 and 210,357.88

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Solution

The fourth proportional to 313,133.16, 469,162.86 and 210,357.88 is: 315,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,133.16 : 469,162.86 = 210,357.88 : x
  2. Step 2: Convert to fraction form
    313,133.16/469,162.86 = 210,357.88/x
  3. Step 3: Cross multiply
    313,133.16x = 469,162.86 × 210,357.88
  4. Step 4: Simplify right side
    313,133.16x = 98,692,104,604.34
  5. Step 5: Solve for x
    x = 98,692,104,604.34/313,133.16
  6. Step 6: Final answer
    x = 315,176.15

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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.