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Finding the Fourth Proportional to 360,409.98, 497,357.01 and 199,260.88

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Solution

The fourth proportional to 360,409.98, 497,357.01 and 199,260.88 is: 274,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,409.98 : 497,357.01 = 199,260.88 : x
  2. Step 2: Convert to fraction form
    360,409.98/497,357.01 = 199,260.88/x
  3. Step 3: Cross multiply
    360,409.98x = 497,357.01 × 199,260.88
  4. Step 4: Simplify right side
    360,409.98x = 99,103,795,486.77
  5. Step 5: Solve for x
    x = 99,103,795,486.77/360,409.98
  6. Step 6: Final answer
    x = 274,975.17

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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.