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Finding the Fourth Proportional to 437,851.83, 656,784.23 and 289,045.11

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Solution

The fourth proportional to 437,851.83, 656,784.23 and 289,045.11 is: 433,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,851.83 : 656,784.23 = 289,045.11 : x
  2. Step 2: Convert to fraction form
    437,851.83/656,784.23 = 289,045.11/x
  3. Step 3: Cross multiply
    437,851.83x = 656,784.23 × 289,045.11
  4. Step 4: Simplify right side
    437,851.83x = 189,840,268,561.39
  5. Step 5: Solve for x
    x = 189,840,268,561.39/437,851.83
  6. Step 6: Final answer
    x = 433,571.94

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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.