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Finding the Fourth Proportional to 312,887.57, 469,307.76 and 99,646.87

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Solution

The fourth proportional to 312,887.57, 469,307.76 and 99,646.87 is: 149,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,887.57 : 469,307.76 = 99,646.87 : x
  2. Step 2: Convert to fraction form
    312,887.57/469,307.76 = 99,646.87/x
  3. Step 3: Cross multiply
    312,887.57x = 469,307.76 × 99,646.87
  4. Step 4: Simplify right side
    312,887.57x = 46,765,046,505.94
  5. Step 5: Solve for x
    x = 46,765,046,505.94/312,887.57
  6. Step 6: Final answer
    x = 149,462.78

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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.