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Finding the Fourth Proportional to 328,775.40, 493,746.30 and 254,077.20

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Solution

The fourth proportional to 328,775.40, 493,746.30 and 254,077.20 is: 381,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,775.40 : 493,746.30 = 254,077.20 : x
  2. Step 2: Convert to fraction form
    328,775.40/493,746.30 = 254,077.20/x
  3. Step 3: Cross multiply
    328,775.40x = 493,746.30 × 254,077.20
  4. Step 4: Simplify right side
    328,775.40x = 125,449,677,414.36
  5. Step 5: Solve for x
    x = 125,449,677,414.36/328,775.40
  6. Step 6: Final answer
    x = 381,566.50

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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.