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Finding the Fourth Proportional to 311,595.28, 468,269.32 and 185,258.22

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Solution

The fourth proportional to 311,595.28, 468,269.32 and 185,258.22 is: 278,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,595.28 : 468,269.32 = 185,258.22 : x
  2. Step 2: Convert to fraction form
    311,595.28/468,269.32 = 185,258.22/x
  3. Step 3: Cross multiply
    311,595.28x = 468,269.32 × 185,258.22
  4. Step 4: Simplify right side
    311,595.28x = 86,750,740,703.81
  5. Step 5: Solve for x
    x = 86,750,740,703.81/311,595.28
  6. Step 6: Final answer
    x = 278,408.39

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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.