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Finding the Fourth Proportional to 389,434.50, 537,419.64 and 210,586.50

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Solution

The fourth proportional to 389,434.50, 537,419.64 and 210,586.50 is: 290,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,434.50 : 537,419.64 = 210,586.50 : x
  2. Step 2: Convert to fraction form
    389,434.50/537,419.64 = 210,586.50/x
  3. Step 3: Cross multiply
    389,434.50x = 537,419.64 × 210,586.50
  4. Step 4: Simplify right side
    389,434.50x = 113,173,321,018.86
  5. Step 5: Solve for x
    x = 113,173,321,018.86/389,434.50
  6. Step 6: Final answer
    x = 290,609.39

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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.