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Finding the Fourth Proportional to 256,317.28, 383,718.84 and 189,312.40

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Solution

The fourth proportional to 256,317.28, 383,718.84 and 189,312.40 is: 283,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,317.28 : 383,718.84 = 189,312.40 : x
  2. Step 2: Convert to fraction form
    256,317.28/383,718.84 = 189,312.40/x
  3. Step 3: Cross multiply
    256,317.28x = 383,718.84 × 189,312.40
  4. Step 4: Simplify right side
    256,317.28x = 72,642,734,525.62
  5. Step 5: Solve for x
    x = 72,642,734,525.62/256,317.28
  6. Step 6: Final answer
    x = 283,409.43

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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.