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Finding the Fourth Proportional to 314,425.94, 471,665.63 and 277,421.90

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Solution

The fourth proportional to 314,425.94, 471,665.63 and 277,421.90 is: 416,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,425.94 : 471,665.63 = 277,421.90 : x
  2. Step 2: Convert to fraction form
    314,425.94/471,665.63 = 277,421.90/x
  3. Step 3: Cross multiply
    314,425.94x = 471,665.63 × 277,421.90
  4. Step 4: Simplify right side
    314,425.94x = 130,850,373,574.52
  5. Step 5: Solve for x
    x = 130,850,373,574.52/314,425.94
  6. Step 6: Final answer
    x = 416,156.43

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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.