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Finding the Fourth Proportional to 464,969.10, 697,280.85 and 184,428.30

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Solution

The fourth proportional to 464,969.10, 697,280.85 and 184,428.30 is: 276,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,969.10 : 697,280.85 = 184,428.30 : x
  2. Step 2: Convert to fraction form
    464,969.10/697,280.85 = 184,428.30/x
  3. Step 3: Cross multiply
    464,969.10x = 697,280.85 × 184,428.30
  4. Step 4: Simplify right side
    464,969.10x = 128,598,321,788.06
  5. Step 5: Solve for x
    x = 128,598,321,788.06/464,969.10
  6. Step 6: Final answer
    x = 276,573.91

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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.