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Finding the Fourth Proportional to 496,376.20, 744,564.30 and 307,419.40

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Solution

The fourth proportional to 496,376.20, 744,564.30 and 307,419.40 is: 461,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,376.20 : 744,564.30 = 307,419.40 : x
  2. Step 2: Convert to fraction form
    496,376.20/744,564.30 = 307,419.40/x
  3. Step 3: Cross multiply
    496,376.20x = 744,564.30 × 307,419.40
  4. Step 4: Simplify right side
    496,376.20x = 228,893,510,367.42
  5. Step 5: Solve for x
    x = 228,893,510,367.42/496,376.20
  6. Step 6: Final answer
    x = 461,129.10

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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.