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Finding the Fourth Proportional to 604,972.52, 907,458.78 and 161,729

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Solution

The fourth proportional to 604,972.52, 907,458.78 and 161,729 is: 242,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,972.52 : 907,458.78 = 161,729 : x
  2. Step 2: Convert to fraction form
    604,972.52/907,458.78 = 161,729/x
  3. Step 3: Cross multiply
    604,972.52x = 907,458.78 × 161,729
  4. Step 4: Simplify right side
    604,972.52x = 146,762,401,030.62
  5. Step 5: Solve for x
    x = 146,762,401,030.62/604,972.52
  6. Step 6: Final answer
    x = 242,593.50

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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.