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Finding the Fourth Proportional to 405,800.64, 560,184.26 and 242,514.77

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Solution

The fourth proportional to 405,800.64, 560,184.26 and 242,514.77 is: 334,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,800.64 : 560,184.26 = 242,514.77 : x
  2. Step 2: Convert to fraction form
    405,800.64/560,184.26 = 242,514.77/x
  3. Step 3: Cross multiply
    405,800.64x = 560,184.26 × 242,514.77
  4. Step 4: Simplify right side
    405,800.64x = 135,852,952,958.03
  5. Step 5: Solve for x
    x = 135,852,952,958.03/405,800.64
  6. Step 6: Final answer
    x = 334,777.57

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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.