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Finding the Fourth Proportional to 286,670.20, 430,091.70 and 153,614.20

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Solution

The fourth proportional to 286,670.20, 430,091.70 and 153,614.20 is: 230,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,670.20 : 430,091.70 = 153,614.20 : x
  2. Step 2: Convert to fraction form
    286,670.20/430,091.70 = 153,614.20/x
  3. Step 3: Cross multiply
    286,670.20x = 430,091.70 × 153,614.20
  4. Step 4: Simplify right side
    286,670.20x = 66,068,192,422.14
  5. Step 5: Solve for x
    x = 66,068,192,422.14/286,670.20
  6. Step 6: Final answer
    x = 230,467.60

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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.