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Finding the Fourth Proportional to 306,031.80, 459,047.70 and 164,314.20

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Solution

The fourth proportional to 306,031.80, 459,047.70 and 164,314.20 is: 246,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031.80 : 459,047.70 = 164,314.20 : x
  2. Step 2: Convert to fraction form
    306,031.80/459,047.70 = 164,314.20/x
  3. Step 3: Cross multiply
    306,031.80x = 459,047.70 × 164,314.20
  4. Step 4: Simplify right side
    306,031.80x = 75,428,055,587.34
  5. Step 5: Solve for x
    x = 75,428,055,587.34/306,031.80
  6. Step 6: Final answer
    x = 246,471.30

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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.