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Finding the Fourth Proportional to 436,083.80, 654,125.70 and 286,784.60

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Solution

The fourth proportional to 436,083.80, 654,125.70 and 286,784.60 is: 430,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,083.80 : 654,125.70 = 286,784.60 : x
  2. Step 2: Convert to fraction form
    436,083.80/654,125.70 = 286,784.60/x
  3. Step 3: Cross multiply
    436,083.80x = 654,125.70 × 286,784.60
  4. Step 4: Simplify right side
    436,083.80x = 187,593,177,224.22
  5. Step 5: Solve for x
    x = 187,593,177,224.22/436,083.80
  6. Step 6: Final answer
    x = 430,176.90

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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.