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Finding the Fourth Proportional to 313,483.80, 470,258.46 and 103,138.32

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Solution

The fourth proportional to 313,483.80, 470,258.46 and 103,138.32 is: 154,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,483.80 : 470,258.46 = 103,138.32 : x
  2. Step 2: Convert to fraction form
    313,483.80/470,258.46 = 103,138.32/x
  3. Step 3: Cross multiply
    313,483.80x = 470,258.46 × 103,138.32
  4. Step 4: Simplify right side
    313,483.80x = 48,501,667,530.19
  5. Step 5: Solve for x
    x = 48,501,667,530.19/313,483.80
  6. Step 6: Final answer
    x = 154,718.26

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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.