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Finding the Fourth Proportional to 369,530.94, 509,952.78 and 199,765.02

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Solution

The fourth proportional to 369,530.94, 509,952.78 and 199,765.02 is: 275,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,530.94 : 509,952.78 = 199,765.02 : x
  2. Step 2: Convert to fraction form
    369,530.94/509,952.78 = 199,765.02/x
  3. Step 3: Cross multiply
    369,530.94x = 509,952.78 × 199,765.02
  4. Step 4: Simplify right side
    369,530.94x = 101,870,727,295.76
  5. Step 5: Solve for x
    x = 101,870,727,295.76/369,530.94
  6. Step 6: Final answer
    x = 275,675.77

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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.