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Finding the Fourth Proportional to 436,573.80, 654,940.02 and 180,406.98

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Solution

The fourth proportional to 436,573.80, 654,940.02 and 180,406.98 is: 270,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,573.80 : 654,940.02 = 180,406.98 : x
  2. Step 2: Convert to fraction form
    436,573.80/654,940.02 = 180,406.98/x
  3. Step 3: Cross multiply
    436,573.80x = 654,940.02 × 180,406.98
  4. Step 4: Simplify right side
    436,573.80x = 118,155,751,089.34
  5. Step 5: Solve for x
    x = 118,155,751,089.34/436,573.80
  6. Step 6: Final answer
    x = 270,643.25

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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.