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Finding the Fourth Proportional to 546,068.16, 819,471.30 and 191,085.30

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Solution

The fourth proportional to 546,068.16, 819,471.30 and 191,085.30 is: 286,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,068.16 : 819,471.30 = 191,085.30 : x
  2. Step 2: Convert to fraction form
    546,068.16/819,471.30 = 191,085.30/x
  3. Step 3: Cross multiply
    546,068.16x = 819,471.30 × 191,085.30
  4. Step 4: Simplify right side
    546,068.16x = 156,588,919,201.89
  5. Step 5: Solve for x
    x = 156,588,919,201.89/546,068.16
  6. Step 6: Final answer
    x = 286,757.09

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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.