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Finding the Fourth Proportional to 283,407.84, 425,011.56 and 83,674.80

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Solution

The fourth proportional to 283,407.84, 425,011.56 and 83,674.80 is: 125,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,407.84 : 425,011.56 = 83,674.80 : x
  2. Step 2: Convert to fraction form
    283,407.84/425,011.56 = 83,674.80/x
  3. Step 3: Cross multiply
    283,407.84x = 425,011.56 × 83,674.80
  4. Step 4: Simplify right side
    283,407.84x = 35,562,757,280.69
  5. Step 5: Solve for x
    x = 35,562,757,280.69/283,407.84
  6. Step 6: Final answer
    x = 125,482.62

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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.