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Finding the Fourth Proportional to 410,833.80, 616,308.30 and 161,457.80

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Solution

The fourth proportional to 410,833.80, 616,308.30 and 161,457.80 is: 242,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,833.80 : 616,308.30 = 161,457.80 : x
  2. Step 2: Convert to fraction form
    410,833.80/616,308.30 = 161,457.80/x
  3. Step 3: Cross multiply
    410,833.80x = 616,308.30 × 161,457.80
  4. Step 4: Simplify right side
    410,833.80x = 99,507,782,239.74
  5. Step 5: Solve for x
    x = 99,507,782,239.74/410,833.80
  6. Step 6: Final answer
    x = 242,209.34

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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.