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Finding the Fourth Proportional to 684,264.96, 944,288.64 and 378,362.88

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Solution

The fourth proportional to 684,264.96, 944,288.64 and 378,362.88 is: 522,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,264.96 : 944,288.64 = 378,362.88 : x
  2. Step 2: Convert to fraction form
    684,264.96/944,288.64 = 378,362.88/x
  3. Step 3: Cross multiply
    684,264.96x = 944,288.64 × 378,362.88
  4. Step 4: Simplify right side
    684,264.96x = 357,283,769,381.68
  5. Step 5: Solve for x
    x = 357,283,769,381.68/684,264.96
  6. Step 6: Final answer
    x = 522,142.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.