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Finding the Fourth Proportional to 569,633.80, 854,499.30 and 148,909

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Solution

The fourth proportional to 569,633.80, 854,499.30 and 148,909 is: 223,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,633.80 : 854,499.30 = 148,909 : x
  2. Step 2: Convert to fraction form
    569,633.80/854,499.30 = 148,909/x
  3. Step 3: Cross multiply
    569,633.80x = 854,499.30 × 148,909
  4. Step 4: Simplify right side
    569,633.80x = 127,242,636,263.70
  5. Step 5: Solve for x
    x = 127,242,636,263.70/569,633.80
  6. Step 6: Final answer
    x = 223,376.20

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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.