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Finding the Fourth Proportional to 383,465.07, 574,807.95 and 158,947.65

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Solution

The fourth proportional to 383,465.07, 574,807.95 and 158,947.65 is: 238,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,465.07 : 574,807.95 = 158,947.65 : x
  2. Step 2: Convert to fraction form
    383,465.07/574,807.95 = 158,947.65/x
  3. Step 3: Cross multiply
    383,465.07x = 574,807.95 × 158,947.65
  4. Step 4: Simplify right side
    383,465.07x = 91,364,372,853.82
  5. Step 5: Solve for x
    x = 91,364,372,853.82/383,465.07
  6. Step 6: Final answer
    x = 238,259.96

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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.