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Finding the Fourth Proportional to 876,411.84, 1,314,693.06 and 307,744.08

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Solution

The fourth proportional to 876,411.84, 1,314,693.06 and 307,744.08 is: 461,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,411.84 : 1,314,693.06 = 307,744.08 : x
  2. Step 2: Convert to fraction form
    876,411.84/1,314,693.06 = 307,744.08/x
  3. Step 3: Cross multiply
    876,411.84x = 1,314,693.06 × 307,744.08
  4. Step 4: Simplify right side
    876,411.84x = 404,589,006,232.09
  5. Step 5: Solve for x
    x = 404,589,006,232.09/876,411.84
  6. Step 6: Final answer
    x = 461,642.56

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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.