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Finding the Fourth Proportional to 534,817.02, 738,048.53 and 293,108.57

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Solution

The fourth proportional to 534,817.02, 738,048.53 and 293,108.57 is: 404,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,817.02 : 738,048.53 = 293,108.57 : x
  2. Step 2: Convert to fraction form
    534,817.02/738,048.53 = 293,108.57/x
  3. Step 3: Cross multiply
    534,817.02x = 738,048.53 × 293,108.57
  4. Step 4: Simplify right side
    534,817.02x = 216,328,346,261.43
  5. Step 5: Solve for x
    x = 216,328,346,261.43/534,817.02
  6. Step 6: Final answer
    x = 404,490.39

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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.