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Finding the Fourth Proportional to 535,101.60, 802,393.20 and 298,192.80

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Solution

The fourth proportional to 535,101.60, 802,393.20 and 298,192.80 is: 447,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,101.60 : 802,393.20 = 298,192.80 : x
  2. Step 2: Convert to fraction form
    535,101.60/802,393.20 = 298,192.80/x
  3. Step 3: Cross multiply
    535,101.60x = 802,393.20 × 298,192.80
  4. Step 4: Simplify right side
    535,101.60x = 239,267,875,008.96
  5. Step 5: Solve for x
    x = 239,267,875,008.96/535,101.60
  6. Step 6: Final answer
    x = 447,144.76

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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.