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Finding the Fourth Proportional to 367,907.84, 551,400.32 and 157,298.56

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Solution

The fourth proportional to 367,907.84, 551,400.32 and 157,298.56 is: 235,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,907.84 : 551,400.32 = 157,298.56 : x
  2. Step 2: Convert to fraction form
    367,907.84/551,400.32 = 157,298.56/x
  3. Step 3: Cross multiply
    367,907.84x = 551,400.32 × 157,298.56
  4. Step 4: Simplify right side
    367,907.84x = 86,734,476,319.54
  5. Step 5: Solve for x
    x = 86,734,476,319.54/367,907.84
  6. Step 6: Final answer
    x = 235,750.55

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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.