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Finding the Fourth Proportional to 542,833.80, 814,250.70 and 492,970.20

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Solution

The fourth proportional to 542,833.80, 814,250.70 and 492,970.20 is: 739,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,833.80 : 814,250.70 = 492,970.20 : x
  2. Step 2: Convert to fraction form
    542,833.80/814,250.70 = 492,970.20/x
  3. Step 3: Cross multiply
    542,833.80x = 814,250.70 × 492,970.20
  4. Step 4: Simplify right side
    542,833.80x = 401,401,330,429.14
  5. Step 5: Solve for x
    x = 401,401,330,429.14/542,833.80
  6. Step 6: Final answer
    x = 739,455.30

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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.