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Finding the Fourth Proportional to 341,421.20, 512,131.80 and 164,274.20

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Solution

The fourth proportional to 341,421.20, 512,131.80 and 164,274.20 is: 246,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,421.20 : 512,131.80 = 164,274.20 : x
  2. Step 2: Convert to fraction form
    341,421.20/512,131.80 = 164,274.20/x
  3. Step 3: Cross multiply
    341,421.20x = 512,131.80 × 164,274.20
  4. Step 4: Simplify right side
    341,421.20x = 84,130,041,739.56
  5. Step 5: Solve for x
    x = 84,130,041,739.56/341,421.20
  6. Step 6: Final answer
    x = 246,411.30

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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.