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Finding the Fourth Proportional to 297,196.64, 410,272.53 and 188,355.32

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Solution

The fourth proportional to 297,196.64, 410,272.53 and 188,355.32 is: 260,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,196.64 : 410,272.53 = 188,355.32 : x
  2. Step 2: Convert to fraction form
    297,196.64/410,272.53 = 188,355.32/x
  3. Step 3: Cross multiply
    297,196.64x = 410,272.53 × 188,355.32
  4. Step 4: Simplify right side
    297,196.64x = 77,277,013,675.36
  5. Step 5: Solve for x
    x = 77,277,013,675.36/297,196.64
  6. Step 6: Final answer
    x = 260,019.81

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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.