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Finding the Fourth Proportional to 288,522.80, 432,784.20 and 284,586.20

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Solution

The fourth proportional to 288,522.80, 432,784.20 and 284,586.20 is: 426,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,522.80 : 432,784.20 = 284,586.20 : x
  2. Step 2: Convert to fraction form
    288,522.80/432,784.20 = 284,586.20/x
  3. Step 3: Cross multiply
    288,522.80x = 432,784.20 × 284,586.20
  4. Step 4: Simplify right side
    288,522.80x = 123,164,410,898.04
  5. Step 5: Solve for x
    x = 123,164,410,898.04/288,522.80
  6. Step 6: Final answer
    x = 426,879.30

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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.