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Finding the Fourth Proportional to 283,909.36, 426,159.42 and 209,113.96

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Solution

The fourth proportional to 283,909.36, 426,159.42 and 209,113.96 is: 313,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,909.36 : 426,159.42 = 209,113.96 : x
  2. Step 2: Convert to fraction form
    283,909.36/426,159.42 = 209,113.96/x
  3. Step 3: Cross multiply
    283,909.36x = 426,159.42 × 209,113.96
  4. Step 4: Simplify right side
    283,909.36x = 89,115,883,907.50
  5. Step 5: Solve for x
    x = 89,115,883,907.50/283,909.36
  6. Step 6: Final answer
    x = 313,888.50

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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.