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Finding the Fourth Proportional to 420,905.70, 631,358.55 and 420,905.70

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Solution

The fourth proportional to 420,905.70, 631,358.55 and 420,905.70 is: 631,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,905.70 : 631,358.55 = 420,905.70 : x
  2. Step 2: Convert to fraction form
    420,905.70/631,358.55 = 420,905.70/x
  3. Step 3: Cross multiply
    420,905.70x = 631,358.55 × 420,905.70
  4. Step 4: Simplify right side
    420,905.70x = 265,742,412,438.74
  5. Step 5: Solve for x
    x = 265,742,412,438.74/420,905.70
  6. Step 6: Final answer
    x = 631,358.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.