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Finding the Fourth Proportional to 470,543.29, 649,348.51 and 255,683.38

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Solution

The fourth proportional to 470,543.29, 649,348.51 and 255,683.38 is: 352,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.29 : 649,348.51 = 255,683.38 : x
  2. Step 2: Convert to fraction form
    470,543.29/649,348.51 = 255,683.38/x
  3. Step 3: Cross multiply
    470,543.29x = 649,348.51 × 255,683.38
  4. Step 4: Simplify right side
    470,543.29x = 166,027,621,834.76
  5. Step 5: Solve for x
    x = 166,027,621,834.76/470,543.29
  6. Step 6: Final answer
    x = 352,842.40

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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.