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Finding the Fourth Proportional to 536,775.80, 740,742.30 and 295,053.20

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Solution

The fourth proportional to 536,775.80, 740,742.30 and 295,053.20 is: 407,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,775.80 : 740,742.30 = 295,053.20 : x
  2. Step 2: Convert to fraction form
    536,775.80/740,742.30 = 295,053.20/x
  3. Step 3: Cross multiply
    536,775.80x = 740,742.30 × 295,053.20
  4. Step 4: Simplify right side
    536,775.80x = 218,558,385,990.36
  5. Step 5: Solve for x
    x = 218,558,385,990.36/536,775.80
  6. Step 6: Final answer
    x = 407,168.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.