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Finding the Fourth Proportional to 446,034.40, 615,527.81 and 242,085.31

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Solution

The fourth proportional to 446,034.40, 615,527.81 and 242,085.31 is: 334,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,034.40 : 615,527.81 = 242,085.31 : x
  2. Step 2: Convert to fraction form
    446,034.40/615,527.81 = 242,085.31/x
  3. Step 3: Cross multiply
    446,034.40x = 615,527.81 × 242,085.31
  4. Step 4: Simplify right side
    446,034.40x = 149,010,238,856.05
  5. Step 5: Solve for x
    x = 149,010,238,856.05/446,034.40
  6. Step 6: Final answer
    x = 334,077.91

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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.