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Finding the Fourth Proportional to 470,955.16, 649,898.32 and 267,019.80

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Solution

The fourth proportional to 470,955.16, 649,898.32 and 267,019.80 is: 368,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,955.16 : 649,898.32 = 267,019.80 : x
  2. Step 2: Convert to fraction form
    470,955.16/649,898.32 = 267,019.80/x
  3. Step 3: Cross multiply
    470,955.16x = 649,898.32 × 267,019.80
  4. Step 4: Simplify right side
    470,955.16x = 173,535,719,426.74
  5. Step 5: Solve for x
    x = 173,535,719,426.74/470,955.16
  6. Step 6: Final answer
    x = 368,476.10

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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.