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Finding the Fourth Proportional to 314,527.38, 434,044.80 and 171,289.82

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Solution

The fourth proportional to 314,527.38, 434,044.80 and 171,289.82 is: 236,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,527.38 : 434,044.80 = 171,289.82 : x
  2. Step 2: Convert to fraction form
    314,527.38/434,044.80 = 171,289.82/x
  3. Step 3: Cross multiply
    314,527.38x = 434,044.80 × 171,289.82
  4. Step 4: Simplify right side
    314,527.38x = 74,347,453,493.71
  5. Step 5: Solve for x
    x = 74,347,453,493.71/314,527.38
  6. Step 6: Final answer
    x = 236,378.32

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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.