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Finding the Fourth Proportional to 286,770.46, 430,213.10 and 160,590.13

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Solution

The fourth proportional to 286,770.46, 430,213.10 and 160,590.13 is: 240,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770.46 : 430,213.10 = 160,590.13 : x
  2. Step 2: Convert to fraction form
    286,770.46/430,213.10 = 160,590.13/x
  3. Step 3: Cross multiply
    286,770.46x = 430,213.10 × 160,590.13
  4. Step 4: Simplify right side
    286,770.46x = 69,087,977,656.70
  5. Step 5: Solve for x
    x = 69,087,977,656.70/286,770.46
  6. Step 6: Final answer
    x = 240,917.34

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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.