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Finding the Fourth Proportional to 340,053.64, 468,529.86 and 225,137.32

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Solution

The fourth proportional to 340,053.64, 468,529.86 and 225,137.32 is: 310,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,053.64 : 468,529.86 = 225,137.32 : x
  2. Step 2: Convert to fraction form
    340,053.64/468,529.86 = 225,137.32/x
  3. Step 3: Cross multiply
    340,053.64x = 468,529.86 × 225,137.32
  4. Step 4: Simplify right side
    340,053.64x = 105,483,557,020.38
  5. Step 5: Solve for x
    x = 105,483,557,020.38/340,053.64
  6. Step 6: Final answer
    x = 310,196.82

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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.