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Finding the Fourth Proportional to 638,160.84, 957,407.31 and 238,833

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Solution

The fourth proportional to 638,160.84, 957,407.31 and 238,833 is: 358,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,160.84 : 957,407.31 = 238,833 : x
  2. Step 2: Convert to fraction form
    638,160.84/957,407.31 = 238,833/x
  3. Step 3: Cross multiply
    638,160.84x = 957,407.31 × 238,833
  4. Step 4: Simplify right side
    638,160.84x = 228,660,460,069.23
  5. Step 5: Solve for x
    x = 228,660,460,069.23/638,160.84
  6. Step 6: Final answer
    x = 358,311.64

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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.