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Finding the Fourth Proportional to 314,405.91, 434,168.40 and 199,721.67

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Solution

The fourth proportional to 314,405.91, 434,168.40 and 199,721.67 is: 275,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.91 : 434,168.40 = 199,721.67 : x
  2. Step 2: Convert to fraction form
    314,405.91/434,168.40 = 199,721.67/x
  3. Step 3: Cross multiply
    314,405.91x = 434,168.40 × 199,721.67
  4. Step 4: Simplify right side
    314,405.91x = 86,712,837,909.23
  5. Step 5: Solve for x
    x = 86,712,837,909.23/314,405.91
  6. Step 6: Final answer
    x = 275,799.01

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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.