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Finding the Fourth Proportional to 470,969.40, 649,918.14 and 267,034.10

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Solution

The fourth proportional to 470,969.40, 649,918.14 and 267,034.10 is: 368,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.40 : 649,918.14 = 267,034.10 : x
  2. Step 2: Convert to fraction form
    470,969.40/649,918.14 = 267,034.10/x
  3. Step 3: Cross multiply
    470,969.40x = 649,918.14 × 267,034.10
  4. Step 4: Simplify right side
    470,969.40x = 173,550,307,246.50
  5. Step 5: Solve for x
    x = 173,550,307,246.50/470,969.40
  6. Step 6: Final answer
    x = 368,495.93

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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.