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Finding the Fourth Proportional to 464,247.67, 696,388.01 and 148,663.57

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Solution

The fourth proportional to 464,247.67, 696,388.01 and 148,663.57 is: 223,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,247.67 : 696,388.01 = 148,663.57 : x
  2. Step 2: Convert to fraction form
    464,247.67/696,388.01 = 148,663.57/x
  3. Step 3: Cross multiply
    464,247.67x = 696,388.01 × 148,663.57
  4. Step 4: Simplify right side
    464,247.67x = 103,527,527,671.80
  5. Step 5: Solve for x
    x = 103,527,527,671.80/464,247.67
  6. Step 6: Final answer
    x = 223,000.64

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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.