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Finding the Fourth Proportional to 471,941.80, 706,746.30 and 313,311.40

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Solution

The fourth proportional to 471,941.80, 706,746.30 and 313,311.40 is: 469,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,941.80 : 706,746.30 = 313,311.40 : x
  2. Step 2: Convert to fraction form
    471,941.80/706,746.30 = 313,311.40/x
  3. Step 3: Cross multiply
    471,941.80x = 706,746.30 × 313,311.40
  4. Step 4: Simplify right side
    471,941.80x = 221,431,672,697.82
  5. Step 5: Solve for x
    x = 221,431,672,697.82/471,941.80
  6. Step 6: Final answer
    x = 469,192.75

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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.