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Finding the Fourth Proportional to 552,014.10, 827,176.14 and 371,430.77

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Solution

The fourth proportional to 552,014.10, 827,176.14 and 371,430.77 is: 556,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,014.10 : 827,176.14 = 371,430.77 : x
  2. Step 2: Convert to fraction form
    552,014.10/827,176.14 = 371,430.77/x
  3. Step 3: Cross multiply
    552,014.10x = 827,176.14 × 371,430.77
  4. Step 4: Simplify right side
    552,014.10x = 307,238,666,469.95
  5. Step 5: Solve for x
    x = 307,238,666,469.95/552,014.10
  6. Step 6: Final answer
    x = 556,577.57

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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.