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Finding the Fourth Proportional to 314,296.40, 471,444.60 and 234,462.80

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Solution

The fourth proportional to 314,296.40, 471,444.60 and 234,462.80 is: 351,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,296.40 : 471,444.60 = 234,462.80 : x
  2. Step 2: Convert to fraction form
    314,296.40/471,444.60 = 234,462.80/x
  3. Step 3: Cross multiply
    314,296.40x = 471,444.60 × 234,462.80
  4. Step 4: Simplify right side
    314,296.40x = 110,536,220,960.88
  5. Step 5: Solve for x
    x = 110,536,220,960.88/314,296.40
  6. Step 6: Final answer
    x = 351,694.20

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1.5x scale

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.