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Finding the Fourth Proportional to 312,409.64, 468,598.88 and 110,015.73

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Solution

The fourth proportional to 312,409.64, 468,598.88 and 110,015.73 is: 165,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,409.64 : 468,598.88 = 110,015.73 : x
  2. Step 2: Convert to fraction form
    312,409.64/468,598.88 = 110,015.73/x
  3. Step 3: Cross multiply
    312,409.64x = 468,598.88 × 110,015.73
  4. Step 4: Simplify right side
    312,409.64x = 51,553,247,466.42
  5. Step 5: Solve for x
    x = 51,553,247,466.42/312,409.64
  6. Step 6: Final answer
    x = 165,018.11

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1.5x scale

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.