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Finding the Fourth Proportional to 456,901.38, 684,842.30 and 190,573.38

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Solution

The fourth proportional to 456,901.38, 684,842.30 and 190,573.38 is: 285,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,901.38 : 684,842.30 = 190,573.38 : x
  2. Step 2: Convert to fraction form
    456,901.38/684,842.30 = 190,573.38/x
  3. Step 3: Cross multiply
    456,901.38x = 684,842.30 × 190,573.38
  4. Step 4: Simplify right side
    456,901.38x = 130,512,711,877.97
  5. Step 5: Solve for x
    x = 130,512,711,877.97/456,901.38
  6. Step 6: Final answer
    x = 285,647.45

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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.