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Finding the Fourth Proportional to 497,762.40, 746,643.60 and 142,744.80

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Solution

The fourth proportional to 497,762.40, 746,643.60 and 142,744.80 is: 214,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,762.40 : 746,643.60 = 142,744.80 : x
  2. Step 2: Convert to fraction form
    497,762.40/746,643.60 = 142,744.80/x
  3. Step 3: Cross multiply
    497,762.40x = 746,643.60 × 142,744.80
  4. Step 4: Simplify right side
    497,762.40x = 106,579,491,353.28
  5. Step 5: Solve for x
    x = 106,579,491,353.28/497,762.40
  6. Step 6: Final answer
    x = 214,117.20

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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.