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Finding the Fourth Proportional to 519,212.40, 778,818.60 and 414,236.40

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Solution

The fourth proportional to 519,212.40, 778,818.60 and 414,236.40 is: 621,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,212.40 : 778,818.60 = 414,236.40 : x
  2. Step 2: Convert to fraction form
    519,212.40/778,818.60 = 414,236.40/x
  3. Step 3: Cross multiply
    519,212.40x = 778,818.60 × 414,236.40
  4. Step 4: Simplify right side
    519,212.40x = 322,615,013,117.04
  5. Step 5: Solve for x
    x = 322,615,013,117.04/519,212.40
  6. Step 6: Final answer
    x = 621,354.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.