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Finding the Fourth Proportional to 491,324.80, 735,237.60 and 340,859.20

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Solution

The fourth proportional to 491,324.80, 735,237.60 and 340,859.20 is: 510,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,324.80 : 735,237.60 = 340,859.20 : x
  2. Step 2: Convert to fraction form
    491,324.80/735,237.60 = 340,859.20/x
  3. Step 3: Cross multiply
    491,324.80x = 735,237.60 × 340,859.20
  4. Step 4: Simplify right side
    491,324.80x = 250,612,500,145.92
  5. Step 5: Solve for x
    x = 250,612,500,145.92/491,324.80
  6. Step 6: Final answer
    x = 510,075.01

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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.