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Finding the Fourth Proportional to 446,211.76, 615,776.82 and 242,264.56

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Solution

The fourth proportional to 446,211.76, 615,776.82 and 242,264.56 is: 334,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,211.76 : 615,776.82 = 242,264.56 : x
  2. Step 2: Convert to fraction form
    446,211.76/615,776.82 = 242,264.56/x
  3. Step 3: Cross multiply
    446,211.76x = 615,776.82 × 242,264.56
  4. Step 4: Simplify right side
    446,211.76x = 149,180,900,355.50
  5. Step 5: Solve for x
    x = 149,180,900,355.50/446,211.76
  6. Step 6: Final answer
    x = 334,327.59

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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.