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Finding the Fourth Proportional to 438,448.80, 657,308.70 and 185,923.20

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Solution

The fourth proportional to 438,448.80, 657,308.70 and 185,923.20 is: 278,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,448.80 : 657,308.70 = 185,923.20 : x
  2. Step 2: Convert to fraction form
    438,448.80/657,308.70 = 185,923.20/x
  3. Step 3: Cross multiply
    438,448.80x = 657,308.70 × 185,923.20
  4. Step 4: Simplify right side
    438,448.80x = 122,208,936,891.84
  5. Step 5: Solve for x
    x = 122,208,936,891.84/438,448.80
  6. Step 6: Final answer
    x = 278,730.23

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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.