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Finding the Fourth Proportional to 467,893.80, 701,840.70 and 418,030.20

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Solution

The fourth proportional to 467,893.80, 701,840.70 and 418,030.20 is: 627,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893.80 : 701,840.70 = 418,030.20 : x
  2. Step 2: Convert to fraction form
    467,893.80/701,840.70 = 418,030.20/x
  3. Step 3: Cross multiply
    467,893.80x = 701,840.70 × 418,030.20
  4. Step 4: Simplify right side
    467,893.80x = 293,390,608,189.14
  5. Step 5: Solve for x
    x = 293,390,608,189.14/467,893.80
  6. Step 6: Final answer
    x = 627,045.30

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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.