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Finding the Fourth Proportional to 446,189.84, 615,742.50 and 242,240.96

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Solution

The fourth proportional to 446,189.84, 615,742.50 and 242,240.96 is: 334,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,189.84 : 615,742.50 = 242,240.96 : x
  2. Step 2: Convert to fraction form
    446,189.84/615,742.50 = 242,240.96/x
  3. Step 3: Cross multiply
    446,189.84x = 615,742.50 × 242,240.96
  4. Step 4: Simplify right side
    446,189.84x = 149,158,054,312.80
  5. Step 5: Solve for x
    x = 149,158,054,312.80/446,189.84
  6. Step 6: Final answer
    x = 334,292.81

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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.