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Finding the Fourth Proportional to 319,753.49, 441,259.89 and 176,513.63

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Solution

The fourth proportional to 319,753.49, 441,259.89 and 176,513.63 is: 243,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,753.49 : 441,259.89 = 176,513.63 : x
  2. Step 2: Convert to fraction form
    319,753.49/441,259.89 = 176,513.63/x
  3. Step 3: Cross multiply
    319,753.49x = 441,259.89 × 176,513.63
  4. Step 4: Simplify right side
    319,753.49x = 77,888,382,751.00
  5. Step 5: Solve for x
    x = 77,888,382,751.00/319,753.49
  6. Step 6: Final answer
    x = 243,588.85

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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.