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Finding the Fourth Proportional to 360,189.16, 497,059.14 and 199,055.40

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Solution

The fourth proportional to 360,189.16, 497,059.14 and 199,055.40 is: 274,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,189.16 : 497,059.14 = 199,055.40 : x
  2. Step 2: Convert to fraction form
    360,189.16/497,059.14 = 199,055.40/x
  3. Step 3: Cross multiply
    360,189.16x = 497,059.14 × 199,055.40
  4. Step 4: Simplify right side
    360,189.16x = 98,942,305,936.36
  5. Step 5: Solve for x
    x = 98,942,305,936.36/360,189.16
  6. Step 6: Final answer
    x = 274,695.40

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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.