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Finding the Fourth Proportional to 519,486.40, 777,917.40 and 414,510.40

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Solution

The fourth proportional to 519,486.40, 777,917.40 and 414,510.40 is: 620,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,486.40 : 777,917.40 = 414,510.40 : x
  2. Step 2: Convert to fraction form
    519,486.40/777,917.40 = 414,510.40/x
  3. Step 3: Cross multiply
    519,486.40x = 777,917.40 × 414,510.40
  4. Step 4: Simplify right side
    519,486.40x = 322,454,852,640.96
  5. Step 5: Solve for x
    x = 322,454,852,640.96/519,486.40
  6. Step 6: Final answer
    x = 620,718.56

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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.