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Finding the Fourth Proportional to 312,040.06, 468,322.66 and 292,357.06

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Solution

The fourth proportional to 312,040.06, 468,322.66 and 292,357.06 is: 438,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,040.06 : 468,322.66 = 292,357.06 : x
  2. Step 2: Convert to fraction form
    312,040.06/468,322.66 = 292,357.06/x
  3. Step 3: Cross multiply
    312,040.06x = 468,322.66 × 292,357.06
  4. Step 4: Simplify right side
    312,040.06x = 136,917,436,008.98
  5. Step 5: Solve for x
    x = 136,917,436,008.98/312,040.06
  6. Step 6: Final answer
    x = 438,781.60

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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.