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Finding the Fourth Proportional to 356,433.40, 534,482.70 and 206,716.24

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Solution

The fourth proportional to 356,433.40, 534,482.70 and 206,716.24 is: 309,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,433.40 : 534,482.70 = 206,716.24 : x
  2. Step 2: Convert to fraction form
    356,433.40/534,482.70 = 206,716.24/x
  3. Step 3: Cross multiply
    356,433.40x = 534,482.70 × 206,716.24
  4. Step 4: Simplify right side
    356,433.40x = 110,486,254,089.05
  5. Step 5: Solve for x
    x = 110,486,254,089.05/356,433.40
  6. Step 6: Final answer
    x = 309,977.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.