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Finding the Fourth Proportional to 406,281.80, 609,519.90 and 195,746.60

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Solution

The fourth proportional to 406,281.80, 609,519.90 and 195,746.60 is: 293,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,281.80 : 609,519.90 = 195,746.60 : x
  2. Step 2: Convert to fraction form
    406,281.80/609,519.90 = 195,746.60/x
  3. Step 3: Cross multiply
    406,281.80x = 609,519.90 × 195,746.60
  4. Step 4: Simplify right side
    406,281.80x = 119,311,448,057.34
  5. Step 5: Solve for x
    x = 119,311,448,057.34/406,281.80
  6. Step 6: Final answer
    x = 293,666.73

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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.