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Finding the Fourth Proportional to 470,902.91, 649,841.12 and 350,582.27

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Solution

The fourth proportional to 470,902.91, 649,841.12 and 350,582.27 is: 483,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,902.91 : 649,841.12 = 350,582.27 : x
  2. Step 2: Convert to fraction form
    470,902.91/649,841.12 = 350,582.27/x
  3. Step 3: Cross multiply
    470,902.91x = 649,841.12 × 350,582.27
  4. Step 4: Simplify right side
    470,902.91x = 227,822,772,616.19
  5. Step 5: Solve for x
    x = 227,822,772,616.19/470,902.91
  6. Step 6: Final answer
    x = 483,799.89

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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.