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Finding the Fourth Proportional to 292,313.80, 438,470.70 and 165,905.20

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Solution

The fourth proportional to 292,313.80, 438,470.70 and 165,905.20 is: 248,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,313.80 : 438,470.70 = 165,905.20 : x
  2. Step 2: Convert to fraction form
    292,313.80/438,470.70 = 165,905.20/x
  3. Step 3: Cross multiply
    292,313.80x = 438,470.70 × 165,905.20
  4. Step 4: Simplify right side
    292,313.80x = 72,744,569,177.64
  5. Step 5: Solve for x
    x = 72,744,569,177.64/292,313.80
  6. Step 6: Final answer
    x = 248,857.80

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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.