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Finding the Fourth Proportional to 405,813.46, 560,201.91 and 242,527.57

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Solution

The fourth proportional to 405,813.46, 560,201.91 and 242,527.57 is: 334,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,813.46 : 560,201.91 = 242,527.57 : x
  2. Step 2: Convert to fraction form
    405,813.46/560,201.91 = 242,527.57/x
  3. Step 3: Cross multiply
    405,813.46x = 560,201.91 × 242,527.57
  4. Step 4: Simplify right side
    405,813.46x = 135,864,407,941.66
  5. Step 5: Solve for x
    x = 135,864,407,941.66/405,813.46
  6. Step 6: Final answer
    x = 334,795.22

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1.5x scale

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.