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Finding the Fourth Proportional to 293,058.20, 438,931.20 and 226,281.80

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Solution

The fourth proportional to 293,058.20, 438,931.20 and 226,281.80 is: 338,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,058.20 : 438,931.20 = 226,281.80 : x
  2. Step 2: Convert to fraction form
    293,058.20/438,931.20 = 226,281.80/x
  3. Step 3: Cross multiply
    293,058.20x = 438,931.20 × 226,281.80
  4. Step 4: Simplify right side
    293,058.20x = 99,322,142,012.16
  5. Step 5: Solve for x
    x = 99,322,142,012.16/293,058.20
  6. Step 6: Final answer
    x = 338,916.10

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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.