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Finding the Fourth Proportional to 966,564.80, 1,448,464.80 and 711,857.60

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Solution

The fourth proportional to 966,564.80, 1,448,464.80 and 711,857.60 is: 1,066,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,564.80 : 1,448,464.80 = 711,857.60 : x
  2. Step 2: Convert to fraction form
    966,564.80/1,448,464.80 = 711,857.60/x
  3. Step 3: Cross multiply
    966,564.80x = 1,448,464.80 × 711,857.60
  4. Step 4: Simplify right side
    966,564.80x = 1,031,100,676,212.48
  5. Step 5: Solve for x
    x = 1,031,100,676,212.48/966,564.80
  6. Step 6: Final answer
    x = 1,066,768.29

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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.