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Finding the Fourth Proportional to 316,597.32, 474,920.64 and 91,961.40

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Solution

The fourth proportional to 316,597.32, 474,920.64 and 91,961.40 is: 137,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,597.32 : 474,920.64 = 91,961.40 : x
  2. Step 2: Convert to fraction form
    316,597.32/474,920.64 = 91,961.40/x
  3. Step 3: Cross multiply
    316,597.32x = 474,920.64 × 91,961.40
  4. Step 4: Simplify right side
    316,597.32x = 43,674,366,943.30
  5. Step 5: Solve for x
    x = 43,674,366,943.30/316,597.32
  6. Step 6: Final answer
    x = 137,949.26

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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.