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Finding the Fourth Proportional to 447,737.80, 671,606.70 and 314,768.20

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Solution

The fourth proportional to 447,737.80, 671,606.70 and 314,768.20 is: 472,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,737.80 : 671,606.70 = 314,768.20 : x
  2. Step 2: Convert to fraction form
    447,737.80/671,606.70 = 314,768.20/x
  3. Step 3: Cross multiply
    447,737.80x = 671,606.70 × 314,768.20
  4. Step 4: Simplify right side
    447,737.80x = 211,400,432,066.94
  5. Step 5: Solve for x
    x = 211,400,432,066.94/447,737.80
  6. Step 6: Final answer
    x = 472,152.30

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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.