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Finding the Fourth Proportional to 314,732.73, 472,238.67 and 164,937.45

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Solution

The fourth proportional to 314,732.73, 472,238.67 and 164,937.45 is: 247,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,732.73 : 472,238.67 = 164,937.45 : x
  2. Step 2: Convert to fraction form
    314,732.73/472,238.67 = 164,937.45/x
  3. Step 3: Cross multiply
    314,732.73x = 472,238.67 × 164,937.45
  4. Step 4: Simplify right side
    314,732.73x = 77,889,842,021.19
  5. Step 5: Solve for x
    x = 77,889,842,021.19/314,732.73
  6. Step 6: Final answer
    x = 247,479.32

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1.5x scale

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.