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Finding the Fourth Proportional to 464,911.60, 697,486.20 and 149,371.60

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Solution

The fourth proportional to 464,911.60, 697,486.20 and 149,371.60 is: 224,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,911.60 : 697,486.20 = 149,371.60 : x
  2. Step 2: Convert to fraction form
    464,911.60/697,486.20 = 149,371.60/x
  3. Step 3: Cross multiply
    464,911.60x = 697,486.20 × 149,371.60
  4. Step 4: Simplify right side
    464,911.60x = 104,184,629,671.92
  5. Step 5: Solve for x
    x = 104,184,629,671.92/464,911.60
  6. Step 6: Final answer
    x = 224,095.57

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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.