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Finding the Fourth Proportional to 471,141.35, 706,945.55 and 186,825.81

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Solution

The fourth proportional to 471,141.35, 706,945.55 and 186,825.81 is: 280,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,141.35 : 706,945.55 = 186,825.81 : x
  2. Step 2: Convert to fraction form
    471,141.35/706,945.55 = 186,825.81/x
  3. Step 3: Cross multiply
    471,141.35x = 706,945.55 × 186,825.81
  4. Step 4: Simplify right side
    471,141.35x = 132,075,674,070.52
  5. Step 5: Solve for x
    x = 132,075,674,070.52/471,141.35
  6. Step 6: Final answer
    x = 280,331.32

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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.