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Finding the Fourth Proportional to 370,098.52, 510,759.57 and 208,894.75

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Solution

The fourth proportional to 370,098.52, 510,759.57 and 208,894.75 is: 288,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,098.52 : 510,759.57 = 208,894.75 : x
  2. Step 2: Convert to fraction form
    370,098.52/510,759.57 = 208,894.75/x
  3. Step 3: Cross multiply
    370,098.52x = 510,759.57 × 208,894.75
  4. Step 4: Simplify right side
    370,098.52x = 106,694,992,191.71
  5. Step 5: Solve for x
    x = 106,694,992,191.71/370,098.52
  6. Step 6: Final answer
    x = 288,288.08

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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.