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Finding the Fourth Proportional to 471,132.25, 706,931.90 and 186,816.70

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Solution

The fourth proportional to 471,132.25, 706,931.90 and 186,816.70 is: 280,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,132.25 : 706,931.90 = 186,816.70 : x
  2. Step 2: Convert to fraction form
    471,132.25/706,931.90 = 186,816.70/x
  3. Step 3: Cross multiply
    471,132.25x = 706,931.90 × 186,816.70
  4. Step 4: Simplify right side
    471,132.25x = 132,066,686,795.70
  5. Step 5: Solve for x
    x = 132,066,686,795.70/471,132.25
  6. Step 6: Final answer
    x = 280,317.65

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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.