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Finding the Fourth Proportional to 314,047.83, 471,086.33 and 100,824.45

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Solution

The fourth proportional to 314,047.83, 471,086.33 and 100,824.45 is: 151,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,047.83 : 471,086.33 = 100,824.45 : x
  2. Step 2: Convert to fraction form
    314,047.83/471,086.33 = 100,824.45/x
  3. Step 3: Cross multiply
    314,047.83x = 471,086.33 × 100,824.45
  4. Step 4: Simplify right side
    314,047.83x = 47,497,018,421.21
  5. Step 5: Solve for x
    x = 47,497,018,421.21/314,047.83
  6. Step 6: Final answer
    x = 151,241.35

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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.