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Finding the Fourth Proportional to 310,784.95, 428,921.17 and 174,824.63

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Solution

The fourth proportional to 310,784.95, 428,921.17 and 174,824.63 is: 241,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,784.95 : 428,921.17 = 174,824.63 : x
  2. Step 2: Convert to fraction form
    310,784.95/428,921.17 = 174,824.63/x
  3. Step 3: Cross multiply
    310,784.95x = 428,921.17 × 174,824.63
  4. Step 4: Simplify right side
    310,784.95x = 74,985,984,854.59
  5. Step 5: Solve for x
    x = 74,985,984,854.59/310,784.95
  6. Step 6: Final answer
    x = 241,279.33

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