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Finding the Fourth Proportional to 520,021.10, 780,031.65 and 441,289.10

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Solution

The fourth proportional to 520,021.10, 780,031.65 and 441,289.10 is: 661,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,021.10 : 780,031.65 = 441,289.10 : x
  2. Step 2: Convert to fraction form
    520,021.10/780,031.65 = 441,289.10/x
  3. Step 3: Cross multiply
    520,021.10x = 780,031.65 × 441,289.10
  4. Step 4: Simplify right side
    520,021.10x = 344,219,464,800.02
  5. Step 5: Solve for x
    x = 344,219,464,800.02/520,021.10
  6. Step 6: Final answer
    x = 661,933.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.