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Finding the Fourth Proportional to 403,085.48, 604,608.32 and 150,346.28

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Solution

The fourth proportional to 403,085.48, 604,608.32 and 150,346.28 is: 225,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,085.48 : 604,608.32 = 150,346.28 : x
  2. Step 2: Convert to fraction form
    403,085.48/604,608.32 = 150,346.28/x
  3. Step 3: Cross multiply
    403,085.48x = 604,608.32 × 150,346.28
  4. Step 4: Simplify right side
    403,085.48x = 90,900,611,769.05
  5. Step 5: Solve for x
    x = 90,900,611,769.05/403,085.48
  6. Step 6: Final answer
    x = 225,512.00

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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.