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Finding the Fourth Proportional to 360,530.10, 497,534.76 and 199,396.02

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Solution

The fourth proportional to 360,530.10, 497,534.76 and 199,396.02 is: 275,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,530.10 : 497,534.76 = 199,396.02 : x
  2. Step 2: Convert to fraction form
    360,530.10/497,534.76 = 199,396.02/x
  3. Step 3: Cross multiply
    360,530.10x = 497,534.76 × 199,396.02
  4. Step 4: Simplify right side
    360,530.10x = 99,206,450,955.66
  5. Step 5: Solve for x
    x = 99,206,450,955.66/360,530.10
  6. Step 6: Final answer
    x = 275,168.29

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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.