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Finding the Fourth Proportional to 292,022.70, 438,034.05 and 276,470.70

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Solution

The fourth proportional to 292,022.70, 438,034.05 and 276,470.70 is: 414,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.70 : 438,034.05 = 276,470.70 : x
  2. Step 2: Convert to fraction form
    292,022.70/438,034.05 = 276,470.70/x
  3. Step 3: Cross multiply
    292,022.70x = 438,034.05 × 276,470.70
  4. Step 4: Simplify right side
    292,022.70x = 121,103,580,427.34
  5. Step 5: Solve for x
    x = 121,103,580,427.34/292,022.70
  6. Step 6: Final answer
    x = 414,706.05

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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.