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Finding the Fourth Proportional to 386,567.70, 533,492.64 and 214,518.23

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Solution

The fourth proportional to 386,567.70, 533,492.64 and 214,518.23 is: 296,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,567.70 : 533,492.64 = 214,518.23 : x
  2. Step 2: Convert to fraction form
    386,567.70/533,492.64 = 214,518.23/x
  3. Step 3: Cross multiply
    386,567.70x = 533,492.64 × 214,518.23
  4. Step 4: Simplify right side
    386,567.70x = 114,443,896,183.96
  5. Step 5: Solve for x
    x = 114,443,896,183.96/386,567.70
  6. Step 6: Final answer
    x = 296,051.37

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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.