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Finding the Fourth Proportional to 468,035.08, 702,101.70 and 152,516.44

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Solution

The fourth proportional to 468,035.08, 702,101.70 and 152,516.44 is: 228,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,035.08 : 702,101.70 = 152,516.44 : x
  2. Step 2: Convert to fraction form
    468,035.08/702,101.70 = 152,516.44/x
  3. Step 3: Cross multiply
    468,035.08x = 702,101.70 × 152,516.44
  4. Step 4: Simplify right side
    468,035.08x = 107,082,051,801.95
  5. Step 5: Solve for x
    x = 107,082,051,801.95/468,035.08
  6. Step 6: Final answer
    x = 228,790.65

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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.