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Finding the Fourth Proportional to 286,777.20, 430,165.80 and 146,809.20

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Solution

The fourth proportional to 286,777.20, 430,165.80 and 146,809.20 is: 220,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,777.20 : 430,165.80 = 146,809.20 : x
  2. Step 2: Convert to fraction form
    286,777.20/430,165.80 = 146,809.20/x
  3. Step 3: Cross multiply
    286,777.20x = 430,165.80 × 146,809.20
  4. Step 4: Simplify right side
    286,777.20x = 63,152,296,965.36
  5. Step 5: Solve for x
    x = 63,152,296,965.36/286,777.20
  6. Step 6: Final answer
    x = 220,213.80

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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.