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Finding the Fourth Proportional to 539,135.98, 744,005.50 and 297,433.60

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Solution

The fourth proportional to 539,135.98, 744,005.50 and 297,433.60 is: 410,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,135.98 : 744,005.50 = 297,433.60 : x
  2. Step 2: Convert to fraction form
    539,135.98/744,005.50 = 297,433.60/x
  3. Step 3: Cross multiply
    539,135.98x = 744,005.50 × 297,433.60
  4. Step 4: Simplify right side
    539,135.98x = 221,292,234,284.80
  5. Step 5: Solve for x
    x = 221,292,234,284.80/539,135.98
  6. Step 6: Final answer
    x = 410,457.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.