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Finding the Fourth Proportional to 463,529.06, 695,743.02 and 223,812.10

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Solution

The fourth proportional to 463,529.06, 695,743.02 and 223,812.10 is: 335,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,529.06 : 695,743.02 = 223,812.10 : x
  2. Step 2: Convert to fraction form
    463,529.06/695,743.02 = 223,812.10/x
  3. Step 3: Cross multiply
    463,529.06x = 695,743.02 × 223,812.10
  4. Step 4: Simplify right side
    463,529.06x = 155,715,706,366.54
  5. Step 5: Solve for x
    x = 155,715,706,366.54/463,529.06
  6. Step 6: Final answer
    x = 335,935.15

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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.