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Finding the Fourth Proportional to 471,024.56, 706,303.52 and 201,110.48

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Solution

The fourth proportional to 471,024.56, 706,303.52 and 201,110.48 is: 301,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,024.56 : 706,303.52 = 201,110.48 : x
  2. Step 2: Convert to fraction form
    471,024.56/706,303.52 = 201,110.48/x
  3. Step 3: Cross multiply
    471,024.56x = 706,303.52 × 201,110.48
  4. Step 4: Simplify right side
    471,024.56x = 142,045,039,932.89
  5. Step 5: Solve for x
    x = 142,045,039,932.89/471,024.56
  6. Step 6: Final answer
    x = 301,566.10

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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.