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Finding the Fourth Proportional to 559,914, 839,955.60 and 180,708

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Solution

The fourth proportional to 559,914, 839,955.60 and 180,708 is: 271,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,914 : 839,955.60 = 180,708 : x
  2. Step 2: Convert to fraction form
    559,914/839,955.60 = 180,708/x
  3. Step 3: Cross multiply
    559,914x = 839,955.60 × 180,708
  4. Step 4: Simplify right side
    559,914x = 151,786,696,564.80
  5. Step 5: Solve for x
    x = 151,786,696,564.80/559,914
  6. Step 6: Final answer
    x = 271,089.30

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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.