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Finding the Fourth Proportional to 432,861.84, 649,292.40 and 284,043.60

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Solution

The fourth proportional to 432,861.84, 649,292.40 and 284,043.60 is: 426,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,861.84 : 649,292.40 = 284,043.60 : x
  2. Step 2: Convert to fraction form
    432,861.84/649,292.40 = 284,043.60/x
  3. Step 3: Cross multiply
    432,861.84x = 649,292.40 × 284,043.60
  4. Step 4: Simplify right side
    432,861.84x = 184,427,350,748.64
  5. Step 5: Solve for x
    x = 184,427,350,748.64/432,861.84
  6. Step 6: Final answer
    x = 426,065.16

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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.