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Finding the Fourth Proportional to 319,602.72, 441,048.98 and 174,411.38

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Solution

The fourth proportional to 319,602.72, 441,048.98 and 174,411.38 is: 240,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,602.72 : 441,048.98 = 174,411.38 : x
  2. Step 2: Convert to fraction form
    319,602.72/441,048.98 = 174,411.38/x
  3. Step 3: Cross multiply
    319,602.72x = 441,048.98 × 174,411.38
  4. Step 4: Simplify right side
    319,602.72x = 76,923,959,480.18
  5. Step 5: Solve for x
    x = 76,923,959,480.18/319,602.72
  6. Step 6: Final answer
    x = 240,686.19

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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.