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Finding the Fourth Proportional to 490,526, 735,391.83 and 153,393.02

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Solution

The fourth proportional to 490,526, 735,391.83 and 153,393.02 is: 229,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,526 : 735,391.83 = 153,393.02 : x
  2. Step 2: Convert to fraction form
    490,526/735,391.83 = 153,393.02/x
  3. Step 3: Cross multiply
    490,526x = 735,391.83 × 153,393.02
  4. Step 4: Simplify right side
    490,526x = 112,803,973,687.03
  5. Step 5: Solve for x
    x = 112,803,973,687.03/490,526
  6. Step 6: Final answer
    x = 229,965.33

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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.