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Finding the Fourth Proportional to 470,133.38, 648,623.85 and 300,465.38

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Solution

The fourth proportional to 470,133.38, 648,623.85 and 300,465.38 is: 414,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,133.38 : 648,623.85 = 300,465.38 : x
  2. Step 2: Convert to fraction form
    470,133.38/648,623.85 = 300,465.38/x
  3. Step 3: Cross multiply
    470,133.38x = 648,623.85 × 300,465.38
  4. Step 4: Simplify right side
    470,133.38x = 194,889,011,567.31
  5. Step 5: Solve for x
    x = 194,889,011,567.31/470,133.38
  6. Step 6: Final answer
    x = 414,539.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.