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Finding the Fourth Proportional to 653,649.46, 980,530.70 and 180,334.81

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Solution

The fourth proportional to 653,649.46, 980,530.70 and 180,334.81 is: 270,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,649.46 : 980,530.70 = 180,334.81 : x
  2. Step 2: Convert to fraction form
    653,649.46/980,530.70 = 180,334.81/x
  3. Step 3: Cross multiply
    653,649.46x = 980,530.70 × 180,334.81
  4. Step 4: Simplify right side
    653,649.46x = 176,823,817,483.67
  5. Step 5: Solve for x
    x = 176,823,817,483.67/653,649.46
  6. Step 6: Final answer
    x = 270,517.81

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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.