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Finding the Fourth Proportional to 470,898.62, 649,822.18 and 256,038.86

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Solution

The fourth proportional to 470,898.62, 649,822.18 and 256,038.86 is: 353,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,898.62 : 649,822.18 = 256,038.86 : x
  2. Step 2: Convert to fraction form
    470,898.62/649,822.18 = 256,038.86/x
  3. Step 3: Cross multiply
    470,898.62x = 649,822.18 × 256,038.86
  4. Step 4: Simplify right side
    470,898.62x = 166,379,730,169.92
  5. Step 5: Solve for x
    x = 166,379,730,169.92/470,898.62
  6. Step 6: Final answer
    x = 353,323.89

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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.