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Finding the Fourth Proportional to 474,701.64, 712,050.84 and 194,218.89

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Solution

The fourth proportional to 474,701.64, 712,050.84 and 194,218.89 is: 291,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,701.64 : 712,050.84 = 194,218.89 : x
  2. Step 2: Convert to fraction form
    474,701.64/712,050.84 = 194,218.89/x
  3. Step 3: Cross multiply
    474,701.64x = 712,050.84 × 194,218.89
  4. Step 4: Simplify right side
    474,701.64x = 138,293,723,768.37
  5. Step 5: Solve for x
    x = 138,293,723,768.37/474,701.64
  6. Step 6: Final answer
    x = 291,327.67

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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.