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Finding the Fourth Proportional to 310,825.34, 428,898.62 and 174,854.70

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Solution

The fourth proportional to 310,825.34, 428,898.62 and 174,854.70 is: 241,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,825.34 : 428,898.62 = 174,854.70 : x
  2. Step 2: Convert to fraction form
    310,825.34/428,898.62 = 174,854.70/x
  3. Step 3: Cross multiply
    310,825.34x = 428,898.62 × 174,854.70
  4. Step 4: Simplify right side
    310,825.34x = 74,994,939,530.51
  5. Step 5: Solve for x
    x = 74,994,939,530.51/310,825.34
  6. Step 6: Final answer
    x = 241,276.79

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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.