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Finding the Fourth Proportional to 484,673.40, 727,114.96 and 147,705.14

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Solution

The fourth proportional to 484,673.40, 727,114.96 and 147,705.14 is: 221,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,673.40 : 727,114.96 = 147,705.14 : x
  2. Step 2: Convert to fraction form
    484,673.40/727,114.96 = 147,705.14/x
  3. Step 3: Cross multiply
    484,673.40x = 727,114.96 × 147,705.14
  4. Step 4: Simplify right side
    484,673.40x = 107,398,616,962.89
  5. Step 5: Solve for x
    x = 107,398,616,962.89/484,673.40
  6. Step 6: Final answer
    x = 221,589.67

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Why These Related Problems?

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