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Finding the Fourth Proportional to 419,406.32, 628,956.36 and 153,088.04

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Solution

The fourth proportional to 419,406.32, 628,956.36 and 153,088.04 is: 229,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,406.32 : 628,956.36 = 153,088.04 : x
  2. Step 2: Convert to fraction form
    419,406.32/628,956.36 = 153,088.04/x
  3. Step 3: Cross multiply
    419,406.32x = 628,956.36 × 153,088.04
  4. Step 4: Simplify right side
    419,406.32x = 96,285,697,970.33
  5. Step 5: Solve for x
    x = 96,285,697,970.33/419,406.32
  6. Step 6: Final answer
    x = 229,576.17

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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.