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Finding the Fourth Proportional to 598,499.12, 825,808.44 and 380,794.16

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Solution

The fourth proportional to 598,499.12, 825,808.44 and 380,794.16 is: 525,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,499.12 : 825,808.44 = 380,794.16 : x
  2. Step 2: Convert to fraction form
    598,499.12/825,808.44 = 380,794.16/x
  3. Step 3: Cross multiply
    598,499.12x = 825,808.44 × 380,794.16
  4. Step 4: Simplify right side
    598,499.12x = 314,463,031,230.71
  5. Step 5: Solve for x
    x = 314,463,031,230.71/598,499.12
  6. Step 6: Final answer
    x = 525,419.37

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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.