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Finding the Fourth Proportional to 556,274.40, 829,735.19 and 505,190.81

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Solution

The fourth proportional to 556,274.40, 829,735.19 and 505,190.81 is: 753,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,274.40 : 829,735.19 = 505,190.81 : x
  2. Step 2: Convert to fraction form
    556,274.40/829,735.19 = 505,190.81/x
  3. Step 3: Cross multiply
    556,274.40x = 829,735.19 × 505,190.81
  4. Step 4: Simplify right side
    556,274.40x = 419,174,590,195.65
  5. Step 5: Solve for x
    x = 419,174,590,195.65/556,274.40
  6. Step 6: Final answer
    x = 753,539.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.