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Finding the Fourth Proportional to 438,085.76, 657,128.64 and 171,971.60

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Solution

The fourth proportional to 438,085.76, 657,128.64 and 171,971.60 is: 257,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,085.76 : 657,128.64 = 171,971.60 : x
  2. Step 2: Convert to fraction form
    438,085.76/657,128.64 = 171,971.60/x
  3. Step 3: Cross multiply
    438,085.76x = 657,128.64 × 171,971.60
  4. Step 4: Simplify right side
    438,085.76x = 113,007,463,626.62
  5. Step 5: Solve for x
    x = 113,007,463,626.62/438,085.76
  6. Step 6: Final answer
    x = 257,957.40

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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.