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Finding the Fourth Proportional to 470,016.81, 648,624.01 and 268,812.81

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Solution

The fourth proportional to 470,016.81, 648,624.01 and 268,812.81 is: 370,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,016.81 : 648,624.01 = 268,812.81 : x
  2. Step 2: Convert to fraction form
    470,016.81/648,624.01 = 268,812.81/x
  3. Step 3: Cross multiply
    470,016.81x = 648,624.01 × 268,812.81
  4. Step 4: Simplify right side
    470,016.81x = 174,358,442,761.57
  5. Step 5: Solve for x
    x = 174,358,442,761.57/470,016.81
  6. Step 6: Final answer
    x = 370,962.14

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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.