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Finding the Fourth Proportional to 470,543.97, 649,354.79 and 255,684.04

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Solution

The fourth proportional to 470,543.97, 649,354.79 and 255,684.04 is: 352,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.97 : 649,354.79 = 255,684.04 : x
  2. Step 2: Convert to fraction form
    470,543.97/649,354.79 = 255,684.04/x
  3. Step 3: Cross multiply
    470,543.97x = 649,354.79 × 255,684.04
  4. Step 4: Simplify right side
    470,543.97x = 166,029,655,116.38
  5. Step 5: Solve for x
    x = 166,029,655,116.38/470,543.97
  6. Step 6: Final answer
    x = 352,846.21

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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.