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Finding the Fourth Proportional to 369,272.16, 509,595.84 and 199,506.24

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Solution

The fourth proportional to 369,272.16, 509,595.84 and 199,506.24 is: 275,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,272.16 : 509,595.84 = 199,506.24 : x
  2. Step 2: Convert to fraction form
    369,272.16/509,595.84 = 199,506.24/x
  3. Step 3: Cross multiply
    369,272.16x = 509,595.84 × 199,506.24
  4. Step 4: Simplify right side
    369,272.16x = 101,667,549,958.04
  5. Step 5: Solve for x
    x = 101,667,549,958.04/369,272.16
  6. Step 6: Final answer
    x = 275,318.75

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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.