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Finding the Fourth Proportional to 341,642.80, 512,464.20 and 201,559.60

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Solution

The fourth proportional to 341,642.80, 512,464.20 and 201,559.60 is: 302,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,642.80 : 512,464.20 = 201,559.60 : x
  2. Step 2: Convert to fraction form
    341,642.80/512,464.20 = 201,559.60/x
  3. Step 3: Cross multiply
    341,642.80x = 512,464.20 × 201,559.60
  4. Step 4: Simplify right side
    341,642.80x = 103,292,079,166.32
  5. Step 5: Solve for x
    x = 103,292,079,166.32/341,642.80
  6. Step 6: Final answer
    x = 302,339.40

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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.