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Finding the Fourth Proportional to 316,498.24, 474,594.24 and 116,912.64

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Solution

The fourth proportional to 316,498.24, 474,594.24 and 116,912.64 is: 175,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,498.24 : 474,594.24 = 116,912.64 : x
  2. Step 2: Convert to fraction form
    316,498.24/474,594.24 = 116,912.64/x
  3. Step 3: Cross multiply
    316,498.24x = 474,594.24 × 116,912.64
  4. Step 4: Simplify right side
    316,498.24x = 55,486,065,527.19
  5. Step 5: Solve for x
    x = 55,486,065,527.19/316,498.24
  6. Step 6: Final answer
    x = 175,312.40

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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.