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Finding the Fourth Proportional to 408,019.84, 612,116.16 and 127,558.24

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Solution

The fourth proportional to 408,019.84, 612,116.16 and 127,558.24 is: 191,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,019.84 : 612,116.16 = 127,558.24 : x
  2. Step 2: Convert to fraction form
    408,019.84/612,116.16 = 127,558.24/x
  3. Step 3: Cross multiply
    408,019.84x = 612,116.16 × 127,558.24
  4. Step 4: Simplify right side
    408,019.84x = 78,080,460,045.16
  5. Step 5: Solve for x
    x = 78,080,460,045.16/408,019.84
  6. Step 6: Final answer
    x = 191,364.37

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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.