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Finding the Fourth Proportional to 374,570.76, 561,782.84 and 311,794.14

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Solution

The fourth proportional to 374,570.76, 561,782.84 and 311,794.14 is: 467,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,570.76 : 561,782.84 = 311,794.14 : x
  2. Step 2: Convert to fraction form
    374,570.76/561,782.84 = 311,794.14/x
  3. Step 3: Cross multiply
    374,570.76x = 561,782.84 × 311,794.14
  4. Step 4: Simplify right side
    374,570.76x = 175,160,595,905.59
  5. Step 5: Solve for x
    x = 175,160,595,905.59/374,570.76
  6. Step 6: Final answer
    x = 467,630.19

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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.