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Finding the Fourth Proportional to 407,494.15, 611,241.21 and 154,774.01

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Solution

The fourth proportional to 407,494.15, 611,241.21 and 154,774.01 is: 232,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,494.15 : 611,241.21 = 154,774.01 : x
  2. Step 2: Convert to fraction form
    407,494.15/611,241.21 = 154,774.01/x
  3. Step 3: Cross multiply
    407,494.15x = 611,241.21 × 154,774.01
  4. Step 4: Simplify right side
    407,494.15x = 94,604,254,677.06
  5. Step 5: Solve for x
    x = 94,604,254,677.06/407,494.15
  6. Step 6: Final answer
    x = 232,161.01

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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.