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Finding the Fourth Proportional to 308,809.40, 463,214.10 and 296,999.60

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Solution

The fourth proportional to 308,809.40, 463,214.10 and 296,999.60 is: 445,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,809.40 : 463,214.10 = 296,999.60 : x
  2. Step 2: Convert to fraction form
    308,809.40/463,214.10 = 296,999.60/x
  3. Step 3: Cross multiply
    308,809.40x = 463,214.10 × 296,999.60
  4. Step 4: Simplify right side
    308,809.40x = 137,574,402,414.36
  5. Step 5: Solve for x
    x = 137,574,402,414.36/308,809.40
  6. Step 6: Final answer
    x = 445,499.40

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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.