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Finding the Fourth Proportional to 416,560.82, 574,423.93 and 356,330.84

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Solution

The fourth proportional to 416,560.82, 574,423.93 and 356,330.84 is: 491,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,560.82 : 574,423.93 = 356,330.84 : x
  2. Step 2: Convert to fraction form
    416,560.82/574,423.93 = 356,330.84/x
  3. Step 3: Cross multiply
    416,560.82x = 574,423.93 × 356,330.84
  4. Step 4: Simplify right side
    416,560.82x = 204,684,959,166.11
  5. Step 5: Solve for x
    x = 204,684,959,166.11/416,560.82
  6. Step 6: Final answer
    x = 491,368.73

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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.