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Finding the Fourth Proportional to 406,754.60, 609,770.90 and 153,858.02

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Solution

The fourth proportional to 406,754.60, 609,770.90 and 153,858.02 is: 230,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,754.60 : 609,770.90 = 153,858.02 : x
  2. Step 2: Convert to fraction form
    406,754.60/609,770.90 = 153,858.02/x
  3. Step 3: Cross multiply
    406,754.60x = 609,770.90 × 153,858.02
  4. Step 4: Simplify right side
    406,754.60x = 93,818,140,663.41
  5. Step 5: Solve for x
    x = 93,818,140,663.41/406,754.60
  6. Step 6: Final answer
    x = 230,650.48

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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.