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Finding the Fourth Proportional to 408,054.40, 611,644.20 and 155,237.20

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Solution

The fourth proportional to 408,054.40, 611,644.20 and 155,237.20 is: 232,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.40 : 611,644.20 = 155,237.20 : x
  2. Step 2: Convert to fraction form
    408,054.40/611,644.20 = 155,237.20/x
  3. Step 3: Cross multiply
    408,054.40x = 611,644.20 × 155,237.20
  4. Step 4: Simplify right side
    408,054.40x = 94,949,933,004.24
  5. Step 5: Solve for x
    x = 94,949,933,004.24/408,054.40
  6. Step 6: Final answer
    x = 232,689.40

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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.