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Finding the Fourth Proportional to 286,520.71, 429,219.49 and 166,325.63

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Solution

The fourth proportional to 286,520.71, 429,219.49 and 166,325.63 is: 249,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,520.71 : 429,219.49 = 166,325.63 : x
  2. Step 2: Convert to fraction form
    286,520.71/429,219.49 = 166,325.63/x
  3. Step 3: Cross multiply
    286,520.71x = 429,219.49 × 166,325.63
  4. Step 4: Simplify right side
    286,520.71x = 71,390,204,291.50
  5. Step 5: Solve for x
    x = 71,390,204,291.50/286,520.71
  6. Step 6: Final answer
    x = 249,162.46

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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.