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Finding the Fourth Proportional to 407,715.36, 611,579.52 and 154,999.68

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Solution

The fourth proportional to 407,715.36, 611,579.52 and 154,999.68 is: 232,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.36 : 611,579.52 = 154,999.68 : x
  2. Step 2: Convert to fraction form
    407,715.36/611,579.52 = 154,999.68/x
  3. Step 3: Cross multiply
    407,715.36x = 611,579.52 × 154,999.68
  4. Step 4: Simplify right side
    407,715.36x = 94,794,629,894.55
  5. Step 5: Solve for x
    x = 94,794,629,894.55/407,715.36
  6. Step 6: Final answer
    x = 232,501.98

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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.