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Finding the Fourth Proportional to 577,351.72, 866,008.14 and 203,365

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Solution

The fourth proportional to 577,351.72, 866,008.14 and 203,365 is: 305,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,351.72 : 866,008.14 = 203,365 : x
  2. Step 2: Convert to fraction form
    577,351.72/866,008.14 = 203,365/x
  3. Step 3: Cross multiply
    577,351.72x = 866,008.14 × 203,365
  4. Step 4: Simplify right side
    577,351.72x = 176,115,745,391.10
  5. Step 5: Solve for x
    x = 176,115,745,391.10/577,351.72
  6. Step 6: Final answer
    x = 305,040.65

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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.