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Finding the Fourth Proportional to 546,830.80, 820,246.20 and 306,698.20

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Solution

The fourth proportional to 546,830.80, 820,246.20 and 306,698.20 is: 460,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,830.80 : 820,246.20 = 306,698.20 : x
  2. Step 2: Convert to fraction form
    546,830.80/820,246.20 = 306,698.20/x
  3. Step 3: Cross multiply
    546,830.80x = 820,246.20 × 306,698.20
  4. Step 4: Simplify right side
    546,830.80x = 251,568,033,096.84
  5. Step 5: Solve for x
    x = 251,568,033,096.84/546,830.80
  6. Step 6: Final answer
    x = 460,047.30

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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.