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Finding the Fourth Proportional to 315,382.60, 472,907.44 and 137,681.56

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Solution

The fourth proportional to 315,382.60, 472,907.44 and 137,681.56 is: 206,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,382.60 : 472,907.44 = 137,681.56 : x
  2. Step 2: Convert to fraction form
    315,382.60/472,907.44 = 137,681.56/x
  3. Step 3: Cross multiply
    315,382.60x = 472,907.44 × 137,681.56
  4. Step 4: Simplify right side
    315,382.60x = 65,110,634,074.81
  5. Step 5: Solve for x
    x = 65,110,634,074.81/315,382.60
  6. Step 6: Final answer
    x = 206,449.67

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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.