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Finding the Fourth Proportional to 337,477.70, 506,225.64 and 147,840.50

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Solution

The fourth proportional to 337,477.70, 506,225.64 and 147,840.50 is: 221,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,477.70 : 506,225.64 = 147,840.50 : x
  2. Step 2: Convert to fraction form
    337,477.70/506,225.64 = 147,840.50/x
  3. Step 3: Cross multiply
    337,477.70x = 506,225.64 × 147,840.50
  4. Step 4: Simplify right side
    337,477.70x = 74,840,651,730.42
  5. Step 5: Solve for x
    x = 74,840,651,730.42/337,477.70
  6. Step 6: Final answer
    x = 221,764.73

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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.