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Finding the Fourth Proportional to 673,202.40, 1,009,301.40 and 406,906.80

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Solution

The fourth proportional to 673,202.40, 1,009,301.40 and 406,906.80 is: 610,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,202.40 : 1,009,301.40 = 406,906.80 : x
  2. Step 2: Convert to fraction form
    673,202.40/1,009,301.40 = 406,906.80/x
  3. Step 3: Cross multiply
    673,202.40x = 1,009,301.40 × 406,906.80
  4. Step 4: Simplify right side
    673,202.40x = 410,691,602,909.52
  5. Step 5: Solve for x
    x = 410,691,602,909.52/673,202.40
  6. Step 6: Final answer
    x = 610,056.65

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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.