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Finding the Fourth Proportional to 299,784.40, 449,503.80 and 112,814.80

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Solution

The fourth proportional to 299,784.40, 449,503.80 and 112,814.80 is: 169,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,784.40 : 449,503.80 = 112,814.80 : x
  2. Step 2: Convert to fraction form
    299,784.40/449,503.80 = 112,814.80/x
  3. Step 3: Cross multiply
    299,784.40x = 449,503.80 × 112,814.80
  4. Step 4: Simplify right side
    299,784.40x = 50,710,681,296.24
  5. Step 5: Solve for x
    x = 50,710,681,296.24/299,784.40
  6. Step 6: Final answer
    x = 169,157.17

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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.