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Finding the Fourth Proportional to 470,275.29, 648,958.19 and 266,327.68

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Solution

The fourth proportional to 470,275.29, 648,958.19 and 266,327.68 is: 367,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,275.29 : 648,958.19 = 266,327.68 : x
  2. Step 2: Convert to fraction form
    470,275.29/648,958.19 = 266,327.68/x
  3. Step 3: Cross multiply
    470,275.29x = 648,958.19 × 266,327.68
  4. Step 4: Simplify right side
    470,275.29x = 172,835,528,171.51
  5. Step 5: Solve for x
    x = 172,835,528,171.51/470,275.29
  6. Step 6: Final answer
    x = 367,519.90

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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.