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Finding the Fourth Proportional to 470,757.02, 706,140.46 and 186,516.75

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Solution

The fourth proportional to 470,757.02, 706,140.46 and 186,516.75 is: 279,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,757.02 : 706,140.46 = 186,516.75 : x
  2. Step 2: Convert to fraction form
    470,757.02/706,140.46 = 186,516.75/x
  3. Step 3: Cross multiply
    470,757.02x = 706,140.46 × 186,516.75
  4. Step 4: Simplify right side
    470,757.02x = 131,707,023,642.71
  5. Step 5: Solve for x
    x = 131,707,023,642.71/470,757.02
  6. Step 6: Final answer
    x = 279,777.08

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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.