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Finding the Fourth Proportional to 314,349.94, 471,623.37 and 202,156.84

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Solution

The fourth proportional to 314,349.94, 471,623.37 and 202,156.84 is: 303,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,349.94 : 471,623.37 = 202,156.84 : x
  2. Step 2: Convert to fraction form
    314,349.94/471,623.37 = 202,156.84/x
  3. Step 3: Cross multiply
    314,349.94x = 471,623.37 × 202,156.84
  4. Step 4: Simplify right side
    314,349.94x = 95,341,890,149.35
  5. Step 5: Solve for x
    x = 95,341,890,149.35/314,349.94
  6. Step 6: Final answer
    x = 303,298.58

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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.