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Finding the Fourth Proportional to 464,431.80, 696,647.70 and 296,470.20

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Solution

The fourth proportional to 464,431.80, 696,647.70 and 296,470.20 is: 444,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,431.80 : 696,647.70 = 296,470.20 : x
  2. Step 2: Convert to fraction form
    464,431.80/696,647.70 = 296,470.20/x
  3. Step 3: Cross multiply
    464,431.80x = 696,647.70 × 296,470.20
  4. Step 4: Simplify right side
    464,431.80x = 206,535,282,948.54
  5. Step 5: Solve for x
    x = 206,535,282,948.54/464,431.80
  6. Step 6: Final answer
    x = 444,705.30

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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.