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Finding the Fourth Proportional to 433,466.10, 650,199.15 and 380,978.10

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Solution

The fourth proportional to 433,466.10, 650,199.15 and 380,978.10 is: 571,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,466.10 : 650,199.15 = 380,978.10 : x
  2. Step 2: Convert to fraction form
    433,466.10/650,199.15 = 380,978.10/x
  3. Step 3: Cross multiply
    433,466.10x = 650,199.15 × 380,978.10
  4. Step 4: Simplify right side
    433,466.10x = 247,711,636,788.62
  5. Step 5: Solve for x
    x = 247,711,636,788.62/433,466.10
  6. Step 6: Final answer
    x = 571,467.15

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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.