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Finding the Fourth Proportional to 803,004, 1,204,972.56 and 359,772

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Solution

The fourth proportional to 803,004, 1,204,972.56 and 359,772 is: 539,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,004 : 1,204,972.56 = 359,772 : x
  2. Step 2: Convert to fraction form
    803,004/1,204,972.56 = 359,772/x
  3. Step 3: Cross multiply
    803,004x = 1,204,972.56 × 359,772
  4. Step 4: Simplify right side
    803,004x = 433,515,387,856.32
  5. Step 5: Solve for x
    x = 433,515,387,856.32/803,004
  6. Step 6: Final answer
    x = 539,867.03

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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.