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Finding the Fourth Proportional to 606,113.40, 911,138.40 and 429,841.20

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Solution

The fourth proportional to 606,113.40, 911,138.40 and 429,841.20 is: 646,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,113.40 : 911,138.40 = 429,841.20 : x
  2. Step 2: Convert to fraction form
    606,113.40/911,138.40 = 429,841.20/x
  3. Step 3: Cross multiply
    606,113.40x = 911,138.40 × 429,841.20
  4. Step 4: Simplify right side
    606,113.40x = 391,644,823,222.08
  5. Step 5: Solve for x
    x = 391,644,823,222.08/606,113.40
  6. Step 6: Final answer
    x = 646,157.67

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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.