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Finding the Fourth Proportional to 413,426.40, 619,702.20 and 160,609.20

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Solution

The fourth proportional to 413,426.40, 619,702.20 and 160,609.20 is: 240,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,426.40 : 619,702.20 = 160,609.20 : x
  2. Step 2: Convert to fraction form
    413,426.40/619,702.20 = 160,609.20/x
  3. Step 3: Cross multiply
    413,426.40x = 619,702.20 × 160,609.20
  4. Step 4: Simplify right side
    413,426.40x = 99,529,874,580.24
  5. Step 5: Solve for x
    x = 99,529,874,580.24/413,426.40
  6. Step 6: Final answer
    x = 240,743.88

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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.