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Finding the Fourth Proportional to 310,470.94, 428,461.95 and 174,507.58

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Solution

The fourth proportional to 310,470.94, 428,461.95 and 174,507.58 is: 240,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,470.94 : 428,461.95 = 174,507.58 : x
  2. Step 2: Convert to fraction form
    310,470.94/428,461.95 = 174,507.58/x
  3. Step 3: Cross multiply
    310,470.94x = 428,461.95 × 174,507.58
  4. Step 4: Simplify right side
    310,470.94x = 74,769,858,016.58
  5. Step 5: Solve for x
    x = 74,769,858,016.58/310,470.94
  6. Step 6: Final answer
    x = 240,827.23

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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.