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Finding the Fourth Proportional to 433,534.40, 650,301.60 and 307,563.20

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Solution

The fourth proportional to 433,534.40, 650,301.60 and 307,563.20 is: 461,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,534.40 : 650,301.60 = 307,563.20 : x
  2. Step 2: Convert to fraction form
    433,534.40/650,301.60 = 307,563.20/x
  3. Step 3: Cross multiply
    433,534.40x = 650,301.60 × 307,563.20
  4. Step 4: Simplify right side
    433,534.40x = 200,008,841,061.12
  5. Step 5: Solve for x
    x = 200,008,841,061.12/433,534.40
  6. Step 6: Final answer
    x = 461,344.80

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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.