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Finding the Fourth Proportional to 419,775.20, 579,303.30 and 238,483.84

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Solution

The fourth proportional to 419,775.20, 579,303.30 and 238,483.84 is: 329,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,775.20 : 579,303.30 = 238,483.84 : x
  2. Step 2: Convert to fraction form
    419,775.20/579,303.30 = 238,483.84/x
  3. Step 3: Cross multiply
    419,775.20x = 579,303.30 × 238,483.84
  4. Step 4: Simplify right side
    419,775.20x = 138,154,475,508.67
  5. Step 5: Solve for x
    x = 138,154,475,508.67/419,775.20
  6. Step 6: Final answer
    x = 329,115.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.