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Finding the Fourth Proportional to 468,130.50, 702,301.14 and 148,301.64

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Solution

The fourth proportional to 468,130.50, 702,301.14 and 148,301.64 is: 222,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,130.50 : 702,301.14 = 148,301.64 : x
  2. Step 2: Convert to fraction form
    468,130.50/702,301.14 = 148,301.64/x
  3. Step 3: Cross multiply
    468,130.50x = 702,301.14 × 148,301.64
  4. Step 4: Simplify right side
    468,130.50x = 104,152,410,835.87
  5. Step 5: Solve for x
    x = 104,152,410,835.87/468,130.50
  6. Step 6: Final answer
    x = 222,485.85

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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.