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Finding the Fourth Proportional to 306,041.80, 459,062.70 and 164,324.20

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Solution

The fourth proportional to 306,041.80, 459,062.70 and 164,324.20 is: 246,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,041.80 : 459,062.70 = 164,324.20 : x
  2. Step 2: Convert to fraction form
    306,041.80/459,062.70 = 164,324.20/x
  3. Step 3: Cross multiply
    306,041.80x = 459,062.70 × 164,324.20
  4. Step 4: Simplify right side
    306,041.80x = 75,435,110,927.34
  5. Step 5: Solve for x
    x = 75,435,110,927.34/306,041.80
  6. Step 6: Final answer
    x = 246,486.30

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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.