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Finding the Fourth Proportional to 310,976.48, 429,071.52 and 174,984

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Solution

The fourth proportional to 310,976.48, 429,071.52 and 174,984 is: 241,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,976.48 : 429,071.52 = 174,984 : x
  2. Step 2: Convert to fraction form
    310,976.48/429,071.52 = 174,984/x
  3. Step 3: Cross multiply
    310,976.48x = 429,071.52 × 174,984
  4. Step 4: Simplify right side
    310,976.48x = 75,080,650,855.68
  5. Step 5: Solve for x
    x = 75,080,650,855.68/310,976.48
  6. Step 6: Final answer
    x = 241,435.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.