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Finding the Fourth Proportional to 299,671.16, 413,544.94 and 165,535.16

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Solution

The fourth proportional to 299,671.16, 413,544.94 and 165,535.16 is: 228,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,671.16 : 413,544.94 = 165,535.16 : x
  2. Step 2: Convert to fraction form
    299,671.16/413,544.94 = 165,535.16/x
  3. Step 3: Cross multiply
    299,671.16x = 413,544.94 × 165,535.16
  4. Step 4: Simplify right side
    299,671.16x = 68,456,227,810.09
  5. Step 5: Solve for x
    x = 68,456,227,810.09/299,671.16
  6. Step 6: Final answer
    x = 228,437.82

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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.