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Finding the Fourth Proportional to 283,300.34, 424,950.51 and 96,311.84

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Solution

The fourth proportional to 283,300.34, 424,950.51 and 96,311.84 is: 144,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,300.34 : 424,950.51 = 96,311.84 : x
  2. Step 2: Convert to fraction form
    283,300.34/424,950.51 = 96,311.84/x
  3. Step 3: Cross multiply
    283,300.34x = 424,950.51 × 96,311.84
  4. Step 4: Simplify right side
    283,300.34x = 40,927,765,527.04
  5. Step 5: Solve for x
    x = 40,927,765,527.04/283,300.34
  6. Step 6: Final answer
    x = 144,467.76

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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.