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Finding the Fourth Proportional to 310,825.68, 428,938.80 and 174,859.68

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Solution

The fourth proportional to 310,825.68, 428,938.80 and 174,859.68 is: 241,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,825.68 : 428,938.80 = 174,859.68 : x
  2. Step 2: Convert to fraction form
    310,825.68/428,938.80 = 174,859.68/x
  3. Step 3: Cross multiply
    310,825.68x = 428,938.80 × 174,859.68
  4. Step 4: Simplify right side
    310,825.68x = 75,004,101,307.58
  5. Step 5: Solve for x
    x = 75,004,101,307.58/310,825.68
  6. Step 6: Final answer
    x = 241,306.00

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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.