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Finding the Fourth Proportional to 283,094.85, 390,667.91 and 160,609.86

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Solution

The fourth proportional to 283,094.85, 390,667.91 and 160,609.86 is: 221,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,094.85 : 390,667.91 = 160,609.86 : x
  2. Step 2: Convert to fraction form
    283,094.85/390,667.91 = 160,609.86/x
  3. Step 3: Cross multiply
    283,094.85x = 390,667.91 × 160,609.86
  4. Step 4: Simplify right side
    283,094.85x = 62,745,119,530.73
  5. Step 5: Solve for x
    x = 62,745,119,530.73/283,094.85
  6. Step 6: Final answer
    x = 221,639.92

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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.