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Finding the Fourth Proportional to 471,332.80, 706,580.12 and 171,757.04

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Solution

The fourth proportional to 471,332.80, 706,580.12 and 171,757.04 is: 257,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,332.80 : 706,580.12 = 171,757.04 : x
  2. Step 2: Convert to fraction form
    471,332.80/706,580.12 = 171,757.04/x
  3. Step 3: Cross multiply
    471,332.80x = 706,580.12 × 171,757.04
  4. Step 4: Simplify right side
    471,332.80x = 121,360,109,934.05
  5. Step 5: Solve for x
    x = 121,360,109,934.05/471,332.80
  6. Step 6: Final answer
    x = 257,482.84

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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.