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Finding the Fourth Proportional to 283,741.56, 391,565.97 and 156,421.71

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Solution

The fourth proportional to 283,741.56, 391,565.97 and 156,421.71 is: 215,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,741.56 : 391,565.97 = 156,421.71 : x
  2. Step 2: Convert to fraction form
    283,741.56/391,565.97 = 156,421.71/x
  3. Step 3: Cross multiply
    283,741.56x = 391,565.97 × 156,421.71
  4. Step 4: Simplify right side
    283,741.56x = 61,249,418,605.21
  5. Step 5: Solve for x
    x = 61,249,418,605.21/283,741.56
  6. Step 6: Final answer
    x = 215,863.40

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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.