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Finding the Fourth Proportional to 275,340.72, 413,054.28 and 117,570

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Solution

The fourth proportional to 275,340.72, 413,054.28 and 117,570 is: 176,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,340.72 : 413,054.28 = 117,570 : x
  2. Step 2: Convert to fraction form
    275,340.72/413,054.28 = 117,570/x
  3. Step 3: Cross multiply
    275,340.72x = 413,054.28 × 117,570
  4. Step 4: Simplify right side
    275,340.72x = 48,562,791,699.60
  5. Step 5: Solve for x
    x = 48,562,791,699.60/275,340.72
  6. Step 6: Final answer
    x = 176,373.45

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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.