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Finding the Fourth Proportional to 464,431.40, 696,647.10 and 148,920.20

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Solution

The fourth proportional to 464,431.40, 696,647.10 and 148,920.20 is: 223,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,431.40 : 696,647.10 = 148,920.20 : x
  2. Step 2: Convert to fraction form
    464,431.40/696,647.10 = 148,920.20/x
  3. Step 3: Cross multiply
    464,431.40x = 696,647.10 × 148,920.20
  4. Step 4: Simplify right side
    464,431.40x = 103,744,825,461.42
  5. Step 5: Solve for x
    x = 103,744,825,461.42/464,431.40
  6. Step 6: Final answer
    x = 223,380.30

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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.