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Finding the Fourth Proportional to 569,493.08, 854,247.90 and 148,769

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Solution

The fourth proportional to 569,493.08, 854,247.90 and 148,769 is: 223,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,493.08 : 854,247.90 = 148,769 : x
  2. Step 2: Convert to fraction form
    569,493.08/854,247.90 = 148,769/x
  3. Step 3: Cross multiply
    569,493.08x = 854,247.90 × 148,769
  4. Step 4: Simplify right side
    569,493.08x = 127,085,605,835.10
  5. Step 5: Solve for x
    x = 127,085,605,835.10/569,493.08
  6. Step 6: Final answer
    x = 223,155.66

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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.