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Finding the Fourth Proportional to 319,807.98, 441,332.19 and 176,564.97

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Solution

The fourth proportional to 319,807.98, 441,332.19 and 176,564.97 is: 243,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,807.98 : 441,332.19 = 176,564.97 : x
  2. Step 2: Convert to fraction form
    319,807.98/441,332.19 = 176,564.97/x
  3. Step 3: Cross multiply
    319,807.98x = 441,332.19 × 176,564.97
  4. Step 4: Simplify right side
    319,807.98x = 77,923,804,887.38
  5. Step 5: Solve for x
    x = 77,923,804,887.38/319,807.98
  6. Step 6: Final answer
    x = 243,658.10

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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.