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Finding the Fourth Proportional to 438,063.74, 657,372.03 and 171,817.16

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Solution

The fourth proportional to 438,063.74, 657,372.03 and 171,817.16 is: 257,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,063.74 : 657,372.03 = 171,817.16 : x
  2. Step 2: Convert to fraction form
    438,063.74/657,372.03 = 171,817.16/x
  3. Step 3: Cross multiply
    438,063.74x = 657,372.03 × 171,817.16
  4. Step 4: Simplify right side
    438,063.74x = 112,947,795,258.04
  5. Step 5: Solve for x
    x = 112,947,795,258.04/438,063.74
  6. Step 6: Final answer
    x = 257,834.16

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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.