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Finding the Fourth Proportional to 310,817.54, 428,927.57 and 174,851.58

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Solution

The fourth proportional to 310,817.54, 428,927.57 and 174,851.58 is: 241,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,817.54 : 428,927.57 = 174,851.58 : x
  2. Step 2: Convert to fraction form
    310,817.54/428,927.57 = 174,851.58/x
  3. Step 3: Cross multiply
    310,817.54x = 428,927.57 × 174,851.58
  4. Step 4: Simplify right side
    310,817.54x = 74,998,663,320.06
  5. Step 5: Solve for x
    x = 74,998,663,320.06/310,817.54
  6. Step 6: Final answer
    x = 241,294.82

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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.