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Finding the Fourth Proportional to 469,063, 703,594.50 and 206,407

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Solution

The fourth proportional to 469,063, 703,594.50 and 206,407 is: 309,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,063 : 703,594.50 = 206,407 : x
  2. Step 2: Convert to fraction form
    469,063/703,594.50 = 206,407/x
  3. Step 3: Cross multiply
    469,063x = 703,594.50 × 206,407
  4. Step 4: Simplify right side
    469,063x = 145,226,829,961.50
  5. Step 5: Solve for x
    x = 145,226,829,961.50/469,063
  6. Step 6: Final answer
    x = 309,610.50

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Similar ratio
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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.