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Finding the Fourth Proportional to 470,063.31, 648,727.53 and 266,150.16

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Solution

The fourth proportional to 470,063.31, 648,727.53 and 266,150.16 is: 367,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,063.31 : 648,727.53 = 266,150.16 : x
  2. Step 2: Convert to fraction form
    470,063.31/648,727.53 = 266,150.16/x
  3. Step 3: Cross multiply
    470,063.31x = 648,727.53 × 266,150.16
  4. Step 4: Simplify right side
    470,063.31x = 172,658,935,905.91
  5. Step 5: Solve for x
    x = 172,658,935,905.91/470,063.31
  6. Step 6: Final answer
    x = 367,309.96

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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.