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Finding the Fourth Proportional to 470,056.40, 705,487.80 and 189,774.80

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Solution

The fourth proportional to 470,056.40, 705,487.80 and 189,774.80 is: 284,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,056.40 : 705,487.80 = 189,774.80 : x
  2. Step 2: Convert to fraction form
    470,056.40/705,487.80 = 189,774.80/x
  3. Step 3: Cross multiply
    470,056.40x = 705,487.80 × 189,774.80
  4. Step 4: Simplify right side
    470,056.40x = 133,883,806,147.44
  5. Step 5: Solve for x
    x = 133,883,806,147.44/470,056.40
  6. Step 6: Final answer
    x = 284,824.98

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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.