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Finding the Fourth Proportional to 406,169.98, 609,441.62 and 153,538.20

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Solution

The fourth proportional to 406,169.98, 609,441.62 and 153,538.20 is: 230,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,169.98 : 609,441.62 = 153,538.20 : x
  2. Step 2: Convert to fraction form
    406,169.98/609,441.62 = 153,538.20/x
  3. Step 3: Cross multiply
    406,169.98x = 609,441.62 × 153,538.20
  4. Step 4: Simplify right side
    406,169.98x = 93,572,569,339.88
  5. Step 5: Solve for x
    x = 93,572,569,339.88/406,169.98
  6. Step 6: Final answer
    x = 230,377.86

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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.