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Finding the Fourth Proportional to 306,468.20, 458,849.10 and 156,384.20

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Solution

The fourth proportional to 306,468.20, 458,849.10 and 156,384.20 is: 234,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,468.20 : 458,849.10 = 156,384.20 : x
  2. Step 2: Convert to fraction form
    306,468.20/458,849.10 = 156,384.20/x
  3. Step 3: Cross multiply
    306,468.20x = 458,849.10 × 156,384.20
  4. Step 4: Simplify right side
    306,468.20x = 71,756,749,424.22
  5. Step 5: Solve for x
    x = 71,756,749,424.22/306,468.20
  6. Step 6: Final answer
    x = 234,140.93

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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.