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Finding the Fourth Proportional to 292,441.84, 438,573.44 and 123,959

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Solution

The fourth proportional to 292,441.84, 438,573.44 and 123,959 is: 185,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,441.84 : 438,573.44 = 123,959 : x
  2. Step 2: Convert to fraction form
    292,441.84/438,573.44 = 123,959/x
  3. Step 3: Cross multiply
    292,441.84x = 438,573.44 × 123,959
  4. Step 4: Simplify right side
    292,441.84x = 54,365,125,048.96
  5. Step 5: Solve for x
    x = 54,365,125,048.96/292,441.84
  6. Step 6: Final answer
    x = 185,900.64

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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.