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Finding the Fourth Proportional to 401,089.20, 601,633.80 and 289,114.80

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Solution

The fourth proportional to 401,089.20, 601,633.80 and 289,114.80 is: 433,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,089.20 : 601,633.80 = 289,114.80 : x
  2. Step 2: Convert to fraction form
    401,089.20/601,633.80 = 289,114.80/x
  3. Step 3: Cross multiply
    401,089.20x = 601,633.80 × 289,114.80
  4. Step 4: Simplify right side
    401,089.20x = 173,941,235,760.24
  5. Step 5: Solve for x
    x = 173,941,235,760.24/401,089.20
  6. Step 6: Final answer
    x = 433,672.20

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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.