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Finding the Fourth Proportional to 647,406, 893,410.02 and 360,943.56

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Solution

The fourth proportional to 647,406, 893,410.02 and 360,943.56 is: 498,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,406 : 893,410.02 = 360,943.56 : x
  2. Step 2: Convert to fraction form
    647,406/893,410.02 = 360,943.56/x
  3. Step 3: Cross multiply
    647,406x = 893,410.02 × 360,943.56
  4. Step 4: Simplify right side
    647,406x = 322,470,593,158.47
  5. Step 5: Solve for x
    x = 322,470,593,158.47/647,406
  6. Step 6: Final answer
    x = 498,096.39

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1.5x scale

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.