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Finding the Fourth Proportional to 541,971.64, 746,716.50 and 357,883.30

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Solution

The fourth proportional to 541,971.64, 746,716.50 and 357,883.30 is: 493,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,971.64 : 746,716.50 = 357,883.30 : x
  2. Step 2: Convert to fraction form
    541,971.64/746,716.50 = 357,883.30/x
  3. Step 3: Cross multiply
    541,971.64x = 746,716.50 × 357,883.30
  4. Step 4: Simplify right side
    541,971.64x = 267,237,365,184.45
  5. Step 5: Solve for x
    x = 267,237,365,184.45/541,971.64
  6. Step 6: Final answer
    x = 493,083.67

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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.