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Finding the Fourth Proportional to 470,455.47, 649,085.51 and 266,473.98

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Solution

The fourth proportional to 470,455.47, 649,085.51 and 266,473.98 is: 367,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,455.47 : 649,085.51 = 266,473.98 : x
  2. Step 2: Convert to fraction form
    470,455.47/649,085.51 = 266,473.98/x
  3. Step 3: Cross multiply
    470,455.47x = 649,085.51 × 266,473.98
  4. Step 4: Simplify right side
    470,455.47x = 172,964,396,442.87
  5. Step 5: Solve for x
    x = 172,964,396,442.87/470,455.47
  6. Step 6: Final answer
    x = 367,653.07

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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.