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Finding the Fourth Proportional to 270,946.52, 404,771.84 and 175,398.31

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Solution

The fourth proportional to 270,946.52, 404,771.84 and 175,398.31 is: 262,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,946.52 : 404,771.84 = 175,398.31 : x
  2. Step 2: Convert to fraction form
    270,946.52/404,771.84 = 175,398.31/x
  3. Step 3: Cross multiply
    270,946.52x = 404,771.84 × 175,398.31
  4. Step 4: Simplify right side
    270,946.52x = 70,996,294,782.67
  5. Step 5: Solve for x
    x = 70,996,294,782.67/270,946.52
  6. Step 6: Final answer
    x = 262,030.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.