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Finding the Fourth Proportional to 347,114.70, 520,866.45 and 147,401.10

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Solution

The fourth proportional to 347,114.70, 520,866.45 and 147,401.10 is: 221,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114.70 : 520,866.45 = 147,401.10 : x
  2. Step 2: Convert to fraction form
    347,114.70/520,866.45 = 147,401.10/x
  3. Step 3: Cross multiply
    347,114.70x = 520,866.45 × 147,401.10
  4. Step 4: Simplify right side
    347,114.70x = 76,776,287,683.10
  5. Step 5: Solve for x
    x = 76,776,287,683.10/347,114.70
  6. Step 6: Final answer
    x = 221,184.20

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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.