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Finding the Fourth Proportional to 429,574.36, 644,114.61 and 177,029.20

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Solution

The fourth proportional to 429,574.36, 644,114.61 and 177,029.20 is: 265,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,574.36 : 644,114.61 = 177,029.20 : x
  2. Step 2: Convert to fraction form
    429,574.36/644,114.61 = 177,029.20/x
  3. Step 3: Cross multiply
    429,574.36x = 644,114.61 × 177,029.20
  4. Step 4: Simplify right side
    429,574.36x = 114,027,094,116.61
  5. Step 5: Solve for x
    x = 114,027,094,116.61/429,574.36
  6. Step 6: Final answer
    x = 265,442.04

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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.