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Finding the Fourth Proportional to 602,203.80, 903,427.20 and 175,738.80

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Solution

The fourth proportional to 602,203.80, 903,427.20 and 175,738.80 is: 263,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,203.80 : 903,427.20 = 175,738.80 : x
  2. Step 2: Convert to fraction form
    602,203.80/903,427.20 = 175,738.80/x
  3. Step 3: Cross multiply
    602,203.80x = 903,427.20 × 175,738.80
  4. Step 4: Simplify right side
    602,203.80x = 158,767,212,015.36
  5. Step 5: Solve for x
    x = 158,767,212,015.36/602,203.80
  6. Step 6: Final answer
    x = 263,643.66

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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.