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Finding the Fourth Proportional to 464,017, 696,025.50 and 113,809

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Solution

The fourth proportional to 464,017, 696,025.50 and 113,809 is: 170,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,017 : 696,025.50 = 113,809 : x
  2. Step 2: Convert to fraction form
    464,017/696,025.50 = 113,809/x
  3. Step 3: Cross multiply
    464,017x = 696,025.50 × 113,809
  4. Step 4: Simplify right side
    464,017x = 79,213,966,129.50
  5. Step 5: Solve for x
    x = 79,213,966,129.50/464,017
  6. Step 6: Final answer
    x = 170,713.50

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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.