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Finding the Fourth Proportional to 438,101.76, 657,152.64 and 171,987.60

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Solution

The fourth proportional to 438,101.76, 657,152.64 and 171,987.60 is: 257,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,101.76 : 657,152.64 = 171,987.60 : x
  2. Step 2: Convert to fraction form
    438,101.76/657,152.64 = 171,987.60/x
  3. Step 3: Cross multiply
    438,101.76x = 657,152.64 × 171,987.60
  4. Step 4: Simplify right side
    438,101.76x = 113,022,105,387.26
  5. Step 5: Solve for x
    x = 113,022,105,387.26/438,101.76
  6. Step 6: Final answer
    x = 257,981.40

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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.