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Finding the Fourth Proportional to 407,076.86, 610,381.68 and 154,196.07

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Solution

The fourth proportional to 407,076.86, 610,381.68 and 154,196.07 is: 231,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,076.86 : 610,381.68 = 154,196.07 : x
  2. Step 2: Convert to fraction form
    407,076.86/610,381.68 = 154,196.07/x
  3. Step 3: Cross multiply
    407,076.86x = 610,381.68 × 154,196.07
  4. Step 4: Simplify right side
    407,076.86x = 94,118,454,256.18
  5. Step 5: Solve for x
    x = 94,118,454,256.18/407,076.86
  6. Step 6: Final answer
    x = 231,205.61

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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.