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Finding the Fourth Proportional to 464,441, 696,078.66 and 251,200.40

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Solution

The fourth proportional to 464,441, 696,078.66 and 251,200.40 is: 376,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,441 : 696,078.66 = 251,200.40 : x
  2. Step 2: Convert to fraction form
    464,441/696,078.66 = 251,200.40/x
  3. Step 3: Cross multiply
    464,441x = 696,078.66 × 251,200.40
  4. Step 4: Simplify right side
    464,441x = 174,855,237,823.46
  5. Step 5: Solve for x
    x = 174,855,237,823.46/464,441
  6. Step 6: Final answer
    x = 376,485.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.