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Finding the Fourth Proportional to 306,029.80, 459,044.70 and 164,312.20

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Solution

The fourth proportional to 306,029.80, 459,044.70 and 164,312.20 is: 246,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029.80 : 459,044.70 = 164,312.20 : x
  2. Step 2: Convert to fraction form
    306,029.80/459,044.70 = 164,312.20/x
  3. Step 3: Cross multiply
    306,029.80x = 459,044.70 × 164,312.20
  4. Step 4: Simplify right side
    306,029.80x = 75,426,644,555.34
  5. Step 5: Solve for x
    x = 75,426,644,555.34/306,029.80
  6. Step 6: Final answer
    x = 246,468.30

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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.