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Finding the Fourth Proportional to 397,545.60, 596,145.60 and 117,004.80

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Solution

The fourth proportional to 397,545.60, 596,145.60 and 117,004.80 is: 175,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,545.60 : 596,145.60 = 117,004.80 : x
  2. Step 2: Convert to fraction form
    397,545.60/596,145.60 = 117,004.80/x
  3. Step 3: Cross multiply
    397,545.60x = 596,145.60 × 117,004.80
  4. Step 4: Simplify right side
    397,545.60x = 69,751,896,698.88
  5. Step 5: Solve for x
    x = 69,751,896,698.88/397,545.60
  6. Step 6: Final answer
    x = 175,456.34

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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.