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Finding the Fourth Proportional to 493,114.68, 680,493.42 and 266,755.32

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Solution

The fourth proportional to 493,114.68, 680,493.42 and 266,755.32 is: 368,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,114.68 : 680,493.42 = 266,755.32 : x
  2. Step 2: Convert to fraction form
    493,114.68/680,493.42 = 266,755.32/x
  3. Step 3: Cross multiply
    493,114.68x = 680,493.42 × 266,755.32
  4. Step 4: Simplify right side
    493,114.68x = 181,525,240,009.99
  5. Step 5: Solve for x
    x = 181,525,240,009.99/493,114.68
  6. Step 6: Final answer
    x = 368,119.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.