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Finding the Fourth Proportional to 470,465.35, 649,243.77 and 266,554.03

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Solution

The fourth proportional to 470,465.35, 649,243.77 and 266,554.03 is: 367,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,465.35 : 649,243.77 = 266,554.03 : x
  2. Step 2: Convert to fraction form
    470,465.35/649,243.77 = 266,554.03/x
  3. Step 3: Cross multiply
    470,465.35x = 649,243.77 × 266,554.03
  4. Step 4: Simplify right side
    470,465.35x = 173,058,543,345.89
  5. Step 5: Solve for x
    x = 173,058,543,345.89/470,465.35
  6. Step 6: Final answer
    x = 367,845.46

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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.