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Finding the Fourth Proportional to 465,416.30, 698,124.45 and 166,234.70

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Solution

The fourth proportional to 465,416.30, 698,124.45 and 166,234.70 is: 249,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,416.30 : 698,124.45 = 166,234.70 : x
  2. Step 2: Convert to fraction form
    465,416.30/698,124.45 = 166,234.70/x
  3. Step 3: Cross multiply
    465,416.30x = 698,124.45 × 166,234.70
  4. Step 4: Simplify right side
    465,416.30x = 116,052,508,508.42
  5. Step 5: Solve for x
    x = 116,052,508,508.42/465,416.30
  6. Step 6: Final answer
    x = 249,352.05

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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.