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Finding the Fourth Proportional to 559,564.20, 839,346.30 and 185,587.20

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Solution

The fourth proportional to 559,564.20, 839,346.30 and 185,587.20 is: 278,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,564.20 : 839,346.30 = 185,587.20 : x
  2. Step 2: Convert to fraction form
    559,564.20/839,346.30 = 185,587.20/x
  3. Step 3: Cross multiply
    559,564.20x = 839,346.30 × 185,587.20
  4. Step 4: Simplify right side
    559,564.20x = 155,771,929,647.36
  5. Step 5: Solve for x
    x = 155,771,929,647.36/559,564.20
  6. Step 6: Final answer
    x = 278,380.80

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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.