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Finding the Fourth Proportional to 564,411.44, 846,172.47 and 279,911.90

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Solution

The fourth proportional to 564,411.44, 846,172.47 and 279,911.90 is: 419,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,411.44 : 846,172.47 = 279,911.90 : x
  2. Step 2: Convert to fraction form
    564,411.44/846,172.47 = 279,911.90/x
  3. Step 3: Cross multiply
    564,411.44x = 846,172.47 × 279,911.90
  4. Step 4: Simplify right side
    564,411.44x = 236,853,746,970.49
  5. Step 5: Solve for x
    x = 236,853,746,970.49/564,411.44
  6. Step 6: Final answer
    x = 419,647.32

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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.