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Finding the Fourth Proportional to 286,885.80, 430,523.10 and 186,802.20

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Solution

The fourth proportional to 286,885.80, 430,523.10 and 186,802.20 is: 280,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,885.80 : 430,523.10 = 186,802.20 : x
  2. Step 2: Convert to fraction form
    286,885.80/430,523.10 = 186,802.20/x
  3. Step 3: Cross multiply
    286,885.80x = 430,523.10 × 186,802.20
  4. Step 4: Simplify right side
    286,885.80x = 80,422,662,230.82
  5. Step 5: Solve for x
    x = 80,422,662,230.82/286,885.80
  6. Step 6: Final answer
    x = 280,329.88

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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.