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Finding the Fourth Proportional to 535,174.78, 802,200.22 and 180,065.50

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Solution

The fourth proportional to 535,174.78, 802,200.22 and 180,065.50 is: 269,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,174.78 : 802,200.22 = 180,065.50 : x
  2. Step 2: Convert to fraction form
    535,174.78/802,200.22 = 180,065.50/x
  3. Step 3: Cross multiply
    535,174.78x = 802,200.22 × 180,065.50
  4. Step 4: Simplify right side
    535,174.78x = 144,448,583,714.41
  5. Step 5: Solve for x
    x = 144,448,583,714.41/535,174.78
  6. Step 6: Final answer
    x = 269,909.18

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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.