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Finding the Fourth Proportional to 310,798.34, 428,861.36 and 174,827.69

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Solution

The fourth proportional to 310,798.34, 428,861.36 and 174,827.69 is: 241,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,798.34 : 428,861.36 = 174,827.69 : x
  2. Step 2: Convert to fraction form
    310,798.34/428,861.36 = 174,827.69/x
  3. Step 3: Cross multiply
    310,798.34x = 428,861.36 × 174,827.69
  4. Step 4: Simplify right side
    310,798.34x = 74,976,840,024.92
  5. Step 5: Solve for x
    x = 74,976,840,024.92/310,798.34
  6. Step 6: Final answer
    x = 241,239.51

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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.