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Finding the Fourth Proportional to 662,714, 994,071.02 and 164,078

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Solution

The fourth proportional to 662,714, 994,071.02 and 164,078 is: 246,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,714 : 994,071.02 = 164,078 : x
  2. Step 2: Convert to fraction form
    662,714/994,071.02 = 164,078/x
  3. Step 3: Cross multiply
    662,714x = 994,071.02 × 164,078
  4. Step 4: Simplify right side
    662,714x = 163,105,184,819.56
  5. Step 5: Solve for x
    x = 163,105,184,819.56/662,714
  6. Step 6: Final answer
    x = 246,117.00

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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.