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Finding the Fourth Proportional to 490,455.24, 735,285.84 and 153,322.32

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Solution

The fourth proportional to 490,455.24, 735,285.84 and 153,322.32 is: 229,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,455.24 : 735,285.84 = 153,322.32 : x
  2. Step 2: Convert to fraction form
    490,455.24/735,285.84 = 153,322.32/x
  3. Step 3: Cross multiply
    490,455.24x = 735,285.84 × 153,322.32
  4. Step 4: Simplify right side
    490,455.24x = 112,735,730,851.95
  5. Step 5: Solve for x
    x = 112,735,730,851.95/490,455.24
  6. Step 6: Final answer
    x = 229,859.37

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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.