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Finding the Fourth Proportional to 412,130.25, 618,455.06 and 175,472.49

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Solution

The fourth proportional to 412,130.25, 618,455.06 and 175,472.49 is: 263,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,130.25 : 618,455.06 = 175,472.49 : x
  2. Step 2: Convert to fraction form
    412,130.25/618,455.06 = 175,472.49/x
  3. Step 3: Cross multiply
    412,130.25x = 618,455.06 × 175,472.49
  4. Step 4: Simplify right side
    412,130.25x = 108,521,849,331.30
  5. Step 5: Solve for x
    x = 108,521,849,331.30/412,130.25
  6. Step 6: Final answer
    x = 263,319.30

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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.