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Finding the Fourth Proportional to 306,511.20, 459,766.80 and 84,895.20

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Solution

The fourth proportional to 306,511.20, 459,766.80 and 84,895.20 is: 127,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,511.20 : 459,766.80 = 84,895.20 : x
  2. Step 2: Convert to fraction form
    306,511.20/459,766.80 = 84,895.20/x
  3. Step 3: Cross multiply
    306,511.20x = 459,766.80 × 84,895.20
  4. Step 4: Simplify right side
    306,511.20x = 39,031,994,439.36
  5. Step 5: Solve for x
    x = 39,031,994,439.36/306,511.20
  6. Step 6: Final answer
    x = 127,342.80

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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.