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Finding the Fourth Proportional to 448,097.10, 670,201.65 and 401,052.30

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Solution

The fourth proportional to 448,097.10, 670,201.65 and 401,052.30 is: 599,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,097.10 : 670,201.65 = 401,052.30 : x
  2. Step 2: Convert to fraction form
    448,097.10/670,201.65 = 401,052.30/x
  3. Step 3: Cross multiply
    448,097.10x = 670,201.65 × 401,052.30
  4. Step 4: Simplify right side
    448,097.10x = 268,785,913,196.30
  5. Step 5: Solve for x
    x = 268,785,913,196.30/448,097.10
  6. Step 6: Final answer
    x = 599,838.55

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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.