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Finding the Fourth Proportional to 840,141.72, 1,159,464.44 and 477,679.32

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Solution

The fourth proportional to 840,141.72, 1,159,464.44 and 477,679.32 is: 659,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,141.72 : 1,159,464.44 = 477,679.32 : x
  2. Step 2: Convert to fraction form
    840,141.72/1,159,464.44 = 477,679.32/x
  3. Step 3: Cross multiply
    840,141.72x = 1,159,464.44 × 477,679.32
  4. Step 4: Simplify right side
    840,141.72x = 553,852,185,263.38
  5. Step 5: Solve for x
    x = 553,852,185,263.38/840,141.72
  6. Step 6: Final answer
    x = 659,236.62

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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.