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Finding the Fourth Proportional to 280,234.80, 386,729.64 and 152,915.76

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Solution

The fourth proportional to 280,234.80, 386,729.64 and 152,915.76 is: 211,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,234.80 : 386,729.64 = 152,915.76 : x
  2. Step 2: Convert to fraction form
    280,234.80/386,729.64 = 152,915.76/x
  3. Step 3: Cross multiply
    280,234.80x = 386,729.64 × 152,915.76
  4. Step 4: Simplify right side
    280,234.80x = 59,137,056,815.13
  5. Step 5: Solve for x
    x = 59,137,056,815.13/280,234.80
  6. Step 6: Final answer
    x = 211,026.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.