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Finding the Fourth Proportional to 470,151.88, 648,804.54 and 266,197.12

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Solution

The fourth proportional to 470,151.88, 648,804.54 and 266,197.12 is: 367,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,151.88 : 648,804.54 = 266,197.12 : x
  2. Step 2: Convert to fraction form
    470,151.88/648,804.54 = 266,197.12/x
  3. Step 3: Cross multiply
    470,151.88x = 648,804.54 × 266,197.12
  4. Step 4: Simplify right side
    470,151.88x = 172,709,899,990.93
  5. Step 5: Solve for x
    x = 172,709,899,990.93/470,151.88
  6. Step 6: Final answer
    x = 367,349.16

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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.