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Finding the Fourth Proportional to 471,272.64, 706,908.96 and 134,320.32

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Solution

The fourth proportional to 471,272.64, 706,908.96 and 134,320.32 is: 201,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,272.64 : 706,908.96 = 134,320.32 : x
  2. Step 2: Convert to fraction form
    471,272.64/706,908.96 = 134,320.32/x
  3. Step 3: Cross multiply
    471,272.64x = 706,908.96 × 134,320.32
  4. Step 4: Simplify right side
    471,272.64x = 94,952,237,718.07
  5. Step 5: Solve for x
    x = 94,952,237,718.07/471,272.64
  6. Step 6: Final answer
    x = 201,480.48

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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.