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Finding the Fourth Proportional to 538,463.87, 743,095.70 and 296,762.01

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Solution

The fourth proportional to 538,463.87, 743,095.70 and 296,762.01 is: 409,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,463.87 : 743,095.70 = 296,762.01 : x
  2. Step 2: Convert to fraction form
    538,463.87/743,095.70 = 296,762.01/x
  3. Step 3: Cross multiply
    538,463.87x = 743,095.70 × 296,762.01
  4. Step 4: Simplify right side
    538,463.87x = 220,522,573,554.36
  5. Step 5: Solve for x
    x = 220,522,573,554.36/538,463.87
  6. Step 6: Final answer
    x = 409,540.15

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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.