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Finding the Fourth Proportional to 468,475.61, 702,993.38 and 430,361.33

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Solution

The fourth proportional to 468,475.61, 702,993.38 and 430,361.33 is: 645,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,475.61 : 702,993.38 = 430,361.33 : x
  2. Step 2: Convert to fraction form
    468,475.61/702,993.38 = 430,361.33/x
  3. Step 3: Cross multiply
    468,475.61x = 702,993.38 × 430,361.33
  4. Step 4: Simplify right side
    468,475.61x = 302,541,160,331.22
  5. Step 5: Solve for x
    x = 302,541,160,331.22/468,475.61
  6. Step 6: Final answer
    x = 645,799.18

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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.