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Finding the Fourth Proportional to 638,535.53, 957,156.51 and 414,038.36

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Solution

The fourth proportional to 638,535.53, 957,156.51 and 414,038.36 is: 620,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,535.53 : 957,156.51 = 414,038.36 : x
  2. Step 2: Convert to fraction form
    638,535.53/957,156.51 = 414,038.36/x
  3. Step 3: Cross multiply
    638,535.53x = 957,156.51 × 414,038.36
  4. Step 4: Simplify right side
    638,535.53x = 396,299,511,663.72
  5. Step 5: Solve for x
    x = 396,299,511,663.72/638,535.53
  6. Step 6: Final answer
    x = 620,638.15

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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.