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Finding the Fourth Proportional to 1,841,810, 2,762,871.48 and 512,114

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Solution

The fourth proportional to 1,841,810, 2,762,871.48 and 512,114 is: 768,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,810 : 2,762,871.48 = 512,114 : x
  2. Step 2: Convert to fraction form
    1,841,810/2,762,871.48 = 512,114/x
  3. Step 3: Cross multiply
    1,841,810x = 2,762,871.48 × 512,114
  4. Step 4: Simplify right side
    1,841,810x = 1,414,905,165,108.72
  5. Step 5: Solve for x
    x = 1,414,905,165,108.72/1,841,810
  6. Step 6: Final answer
    x = 768,214.51

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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.