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Finding the Fourth Proportional to 631,767.79, 947,304.64 and 311,214.34

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Solution

The fourth proportional to 631,767.79, 947,304.64 and 311,214.34 is: 466,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,767.79 : 947,304.64 = 311,214.34 : x
  2. Step 2: Convert to fraction form
    631,767.79/947,304.64 = 311,214.34/x
  3. Step 3: Cross multiply
    631,767.79x = 947,304.64 × 311,214.34
  4. Step 4: Simplify right side
    631,767.79x = 294,814,788,316.54
  5. Step 5: Solve for x
    x = 294,814,788,316.54/631,767.79
  6. Step 6: Final answer
    x = 466,650.55

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Similar ratio
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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.