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Finding the Fourth Proportional to 548,980.40, 823,393.80 and 175,041.20

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Solution

The fourth proportional to 548,980.40, 823,393.80 and 175,041.20 is: 262,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,980.40 : 823,393.80 = 175,041.20 : x
  2. Step 2: Convert to fraction form
    548,980.40/823,393.80 = 175,041.20/x
  3. Step 3: Cross multiply
    548,980.40x = 823,393.80 × 175,041.20
  4. Step 4: Simplify right side
    548,980.40x = 144,127,838,824.56
  5. Step 5: Solve for x
    x = 144,127,838,824.56/548,980.40
  6. Step 6: Final answer
    x = 262,537.31

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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.