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Finding the Fourth Proportional to 369,744.12, 510,246.84 and 199,978.23

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Solution

The fourth proportional to 369,744.12, 510,246.84 and 199,978.23 is: 275,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,744.12 : 510,246.84 = 199,978.23 : x
  2. Step 2: Convert to fraction form
    369,744.12/510,246.84 = 199,978.23/x
  3. Step 3: Cross multiply
    369,744.12x = 510,246.84 × 199,978.23
  4. Step 4: Simplify right side
    369,744.12x = 102,038,259,926.29
  5. Step 5: Solve for x
    x = 102,038,259,926.29/369,744.12
  6. Step 6: Final answer
    x = 275,969.93

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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.