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Finding the Fourth Proportional to 284,056.82, 426,084.72 and 165,645.12

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Solution

The fourth proportional to 284,056.82, 426,084.72 and 165,645.12 is: 248,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,056.82 : 426,084.72 = 165,645.12 : x
  2. Step 2: Convert to fraction form
    284,056.82/426,084.72 = 165,645.12/x
  3. Step 3: Cross multiply
    284,056.82x = 426,084.72 × 165,645.12
  4. Step 4: Simplify right side
    284,056.82x = 70,578,854,574.57
  5. Step 5: Solve for x
    x = 70,578,854,574.57/284,056.82
  6. Step 6: Final answer
    x = 248,467.39

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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.