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Finding the Fourth Proportional to 314,332.33, 433,766.56 and 178,358.17

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Solution

The fourth proportional to 314,332.33, 433,766.56 and 178,358.17 is: 246,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,332.33 : 433,766.56 = 178,358.17 : x
  2. Step 2: Convert to fraction form
    314,332.33/433,766.56 = 178,358.17/x
  3. Step 3: Cross multiply
    314,332.33x = 433,766.56 × 178,358.17
  4. Step 4: Simplify right side
    314,332.33x = 77,365,809,800.64
  5. Step 5: Solve for x
    x = 77,365,809,800.64/314,332.33
  6. Step 6: Final answer
    x = 246,127.43

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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.