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Finding the Fourth Proportional to 406,416.70, 609,970.65 and 182,122.30

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Solution

The fourth proportional to 406,416.70, 609,970.65 and 182,122.30 is: 273,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,416.70 : 609,970.65 = 182,122.30 : x
  2. Step 2: Convert to fraction form
    406,416.70/609,970.65 = 182,122.30/x
  3. Step 3: Cross multiply
    406,416.70x = 609,970.65 × 182,122.30
  4. Step 4: Simplify right side
    406,416.70x = 111,089,257,710.50
  5. Step 5: Solve for x
    x = 111,089,257,710.50/406,416.70
  6. Step 6: Final answer
    x = 273,338.32

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1.5x scale

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.