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Finding the Fourth Proportional to 355,844.80, 534,069.60 and 145,633.60

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Solution

The fourth proportional to 355,844.80, 534,069.60 and 145,633.60 is: 218,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,844.80 : 534,069.60 = 145,633.60 : x
  2. Step 2: Convert to fraction form
    355,844.80/534,069.60 = 145,633.60/x
  3. Step 3: Cross multiply
    355,844.80x = 534,069.60 × 145,633.60
  4. Step 4: Simplify right side
    355,844.80x = 77,778,478,498.56
  5. Step 5: Solve for x
    x = 77,778,478,498.56/355,844.80
  6. Step 6: Final answer
    x = 218,574.16

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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.