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Finding the Fourth Proportional to 340,906, 511,432.82 and 130,543.94

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Solution

The fourth proportional to 340,906, 511,432.82 and 130,543.94 is: 195,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,906 : 511,432.82 = 130,543.94 : x
  2. Step 2: Convert to fraction form
    340,906/511,432.82 = 130,543.94/x
  3. Step 3: Cross multiply
    340,906x = 511,432.82 × 130,543.94
  4. Step 4: Simplify right side
    340,906x = 66,764,455,368.11
  5. Step 5: Solve for x
    x = 66,764,455,368.11/340,906
  6. Step 6: Final answer
    x = 195,844.18

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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.