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Finding the Fourth Proportional to 468,476.23, 702,994.30 and 430,361.95

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Solution

The fourth proportional to 468,476.23, 702,994.30 and 430,361.95 is: 645,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,476.23 : 702,994.30 = 430,361.95 : x
  2. Step 2: Convert to fraction form
    468,476.23/702,994.30 = 430,361.95/x
  3. Step 3: Cross multiply
    468,476.23x = 702,994.30 × 430,361.95
  4. Step 4: Simplify right side
    468,476.23x = 302,541,998,309.01
  5. Step 5: Solve for x
    x = 302,541,998,309.01/468,476.23
  6. Step 6: Final answer
    x = 645,800.10

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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.