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Finding the Fourth Proportional to 316,707.94, 474,566 and 190,036.90

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Solution

The fourth proportional to 316,707.94, 474,566 and 190,036.90 is: 284,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,707.94 : 474,566 = 190,036.90 : x
  2. Step 2: Convert to fraction form
    316,707.94/474,566 = 190,036.90/x
  3. Step 3: Cross multiply
    316,707.94x = 474,566 × 190,036.90
  4. Step 4: Simplify right side
    316,707.94x = 90,185,051,485.40
  5. Step 5: Solve for x
    x = 90,185,051,485.40/316,707.94
  6. Step 6: Final answer
    x = 284,757.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.