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Finding the Fourth Proportional to 319,761.74, 441,272.15 and 174,567.75

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Solution

The fourth proportional to 319,761.74, 441,272.15 and 174,567.75 is: 240,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,761.74 : 441,272.15 = 174,567.75 : x
  2. Step 2: Convert to fraction form
    319,761.74/441,272.15 = 174,567.75/x
  3. Step 3: Cross multiply
    319,761.74x = 441,272.15 × 174,567.75
  4. Step 4: Simplify right side
    319,761.74x = 77,031,886,363.16
  5. Step 5: Solve for x
    x = 77,031,886,363.16/319,761.74
  6. Step 6: Final answer
    x = 240,904.01

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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.