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Finding the Fourth Proportional to 565,006.01, 847,642.28 and 185,956.54

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Solution

The fourth proportional to 565,006.01, 847,642.28 and 185,956.54 is: 278,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,006.01 : 847,642.28 = 185,956.54 : x
  2. Step 2: Convert to fraction form
    565,006.01/847,642.28 = 185,956.54/x
  3. Step 3: Cross multiply
    565,006.01x = 847,642.28 × 185,956.54
  4. Step 4: Simplify right side
    565,006.01x = 157,624,625,546.51
  5. Step 5: Solve for x
    x = 157,624,625,546.51/565,006.01
  6. Step 6: Final answer
    x = 278,978.67

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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.