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Finding the Fourth Proportional to 395,097.85, 592,406.79 and 154,924

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Solution

The fourth proportional to 395,097.85, 592,406.79 and 154,924 is: 232,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,097.85 : 592,406.79 = 154,924 : x
  2. Step 2: Convert to fraction form
    395,097.85/592,406.79 = 154,924/x
  3. Step 3: Cross multiply
    395,097.85x = 592,406.79 × 154,924
  4. Step 4: Simplify right side
    395,097.85x = 91,778,029,533.96
  5. Step 5: Solve for x
    x = 91,778,029,533.96/395,097.85
  6. Step 6: Final answer
    x = 232,291.90

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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.