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Finding the Fourth Proportional to 466,477.10, 699,802.05 and 150,944.30

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Solution

The fourth proportional to 466,477.10, 699,802.05 and 150,944.30 is: 226,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,477.10 : 699,802.05 = 150,944.30 : x
  2. Step 2: Convert to fraction form
    466,477.10/699,802.05 = 150,944.30/x
  3. Step 3: Cross multiply
    466,477.10x = 699,802.05 × 150,944.30
  4. Step 4: Simplify right side
    466,477.10x = 105,631,130,575.82
  5. Step 5: Solve for x
    x = 105,631,130,575.82/466,477.10
  6. Step 6: Final answer
    x = 226,444.41

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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.