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Finding the Fourth Proportional to 470,829.02, 649,730.52 and 266,898.80

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Solution

The fourth proportional to 470,829.02, 649,730.52 and 266,898.80 is: 368,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,829.02 : 649,730.52 = 266,898.80 : x
  2. Step 2: Convert to fraction form
    470,829.02/649,730.52 = 266,898.80/x
  3. Step 3: Cross multiply
    470,829.02x = 649,730.52 × 266,898.80
  4. Step 4: Simplify right side
    470,829.02x = 173,412,296,111.38
  5. Step 5: Solve for x
    x = 173,412,296,111.38/470,829.02
  6. Step 6: Final answer
    x = 368,312.68

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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.