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Finding the Fourth Proportional to 714,910.60, 986,600.82 and 409,037.32

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Solution

The fourth proportional to 714,910.60, 986,600.82 and 409,037.32 is: 564,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,910.60 : 986,600.82 = 409,037.32 : x
  2. Step 2: Convert to fraction form
    714,910.60/986,600.82 = 409,037.32/x
  3. Step 3: Cross multiply
    714,910.60x = 986,600.82 × 409,037.32
  4. Step 4: Simplify right side
    714,910.60x = 403,556,555,322.60
  5. Step 5: Solve for x
    x = 403,556,555,322.60/714,910.60
  6. Step 6: Final answer
    x = 564,485.34

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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.