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Finding the Fourth Proportional to 734,453.64, 1,013,553.54 and 407,772

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Solution

The fourth proportional to 734,453.64, 1,013,553.54 and 407,772 is: 562,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,453.64 : 1,013,553.54 = 407,772 : x
  2. Step 2: Convert to fraction form
    734,453.64/1,013,553.54 = 407,772/x
  3. Step 3: Cross multiply
    734,453.64x = 1,013,553.54 × 407,772
  4. Step 4: Simplify right side
    734,453.64x = 413,298,754,112.88
  5. Step 5: Solve for x
    x = 413,298,754,112.88/734,453.64
  6. Step 6: Final answer
    x = 562,729.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.