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Finding the Fourth Proportional to 282,353.42, 423,613.06 and 113,786.98

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Solution

The fourth proportional to 282,353.42, 423,613.06 and 113,786.98 is: 170,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,353.42 : 423,613.06 = 113,786.98 : x
  2. Step 2: Convert to fraction form
    282,353.42/423,613.06 = 113,786.98/x
  3. Step 3: Cross multiply
    282,353.42x = 423,613.06 × 113,786.98
  4. Step 4: Simplify right side
    282,353.42x = 48,201,650,785.96
  5. Step 5: Solve for x
    x = 48,201,650,785.96/282,353.42
  6. Step 6: Final answer
    x = 170,713.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.