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Finding the Fourth Proportional to 555,672, 766,827.36 and 301,023.12

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Solution

The fourth proportional to 555,672, 766,827.36 and 301,023.12 is: 415,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,672 : 766,827.36 = 301,023.12 : x
  2. Step 2: Convert to fraction form
    555,672/766,827.36 = 301,023.12/x
  3. Step 3: Cross multiply
    555,672x = 766,827.36 × 301,023.12
  4. Step 4: Simplify right side
    555,672x = 230,832,764,408.56
  5. Step 5: Solve for x
    x = 230,832,764,408.56/555,672
  6. Step 6: Final answer
    x = 415,411.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.