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Finding the Fourth Proportional to 647,294.65, 970,940.58 and 173,980.01

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Solution

The fourth proportional to 647,294.65, 970,940.58 and 173,980.01 is: 260,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,294.65 : 970,940.58 = 173,980.01 : x
  2. Step 2: Convert to fraction form
    647,294.65/970,940.58 = 173,980.01/x
  3. Step 3: Cross multiply
    647,294.65x = 970,940.58 × 173,980.01
  4. Step 4: Simplify right side
    647,294.65x = 168,924,251,817.81
  5. Step 5: Solve for x
    x = 168,924,251,817.81/647,294.65
  6. Step 6: Final answer
    x = 260,969.64

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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.