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Finding the Fourth Proportional to 315,322.71, 472,702.77 and 115,596.46

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Solution

The fourth proportional to 315,322.71, 472,702.77 and 115,596.46 is: 173,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,322.71 : 472,702.77 = 115,596.46 : x
  2. Step 2: Convert to fraction form
    315,322.71/472,702.77 = 115,596.46/x
  3. Step 3: Cross multiply
    315,322.71x = 472,702.77 × 115,596.46
  4. Step 4: Simplify right side
    315,322.71x = 54,642,764,776.12
  5. Step 5: Solve for x
    x = 54,642,764,776.12/315,322.71
  6. Step 6: Final answer
    x = 173,291.56

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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.