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Finding the Fourth Proportional to 471,047.64, 706,465.32 and 134,080.85

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Solution

The fourth proportional to 471,047.64, 706,465.32 and 134,080.85 is: 201,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,047.64 : 706,465.32 = 134,080.85 : x
  2. Step 2: Convert to fraction form
    471,047.64/706,465.32 = 134,080.85/x
  3. Step 3: Cross multiply
    471,047.64x = 706,465.32 × 134,080.85
  4. Step 4: Simplify right side
    471,047.64x = 94,723,467,068.80
  5. Step 5: Solve for x
    x = 94,723,467,068.80/471,047.64
  6. Step 6: Final answer
    x = 201,091.06

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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.