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Finding the Fourth Proportional to 360,646.12, 497,682.66 and 199,510.12

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Solution

The fourth proportional to 360,646.12, 497,682.66 and 199,510.12 is: 275,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,646.12 : 497,682.66 = 199,510.12 : x
  2. Step 2: Convert to fraction form
    360,646.12/497,682.66 = 199,510.12/x
  3. Step 3: Cross multiply
    360,646.12x = 497,682.66 × 199,510.12
  4. Step 4: Simplify right side
    360,646.12x = 99,292,727,218.52
  5. Step 5: Solve for x
    x = 99,292,727,218.52/360,646.12
  6. Step 6: Final answer
    x = 275,318.99

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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.