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Finding the Fourth Proportional to 470,759.02, 706,143.46 and 186,518.76

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Solution

The fourth proportional to 470,759.02, 706,143.46 and 186,518.76 is: 279,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,759.02 : 706,143.46 = 186,518.76 : x
  2. Step 2: Convert to fraction form
    470,759.02/706,143.46 = 186,518.76/x
  3. Step 3: Cross multiply
    470,759.02x = 706,143.46 × 186,518.76
  4. Step 4: Simplify right side
    470,759.02x = 131,709,002,541.31
  5. Step 5: Solve for x
    x = 131,709,002,541.31/470,759.02
  6. Step 6: Final answer
    x = 279,780.09

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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.